Atkin-Lehner |
3+ 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
83475m |
Isogeny class |
Conductor |
83475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
280443268669921875 = 39 · 59 · 72 · 533 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2679786492,-53394061199959] |
[a1,a2,a3,a4,a6] |
Generators |
[-1678425630456173221296812669996548259033373348991811516837429420713186902650324714336017346679783902393535699457733570533095394496:839309364878025764008634662699670279470790938567298874623759504566725030269179441066813944288823477114944902529253162513036809129:56158588074147702894673092388337430345777866843024749196250122211782516526356271996520670913994053141223338582002539187929088] |
Generators of the group modulo torsion |
j |
55360877032440807094359/7294973 |
j-invariant |
L |
8.1896346257134 |
L(r)(E,1)/r! |
Ω |
0.020983334615454 |
Real period |
R |
195.1461666079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83475p2 83475l2 |
Quadratic twists by: -3 5 |