Atkin-Lehner |
2+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344cd |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-47571931230208 = -1 · 212 · 73 · 112 · 234 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 11- 0 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5929,373527] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:616:1] [-53:736:1] |
Generators of the group modulo torsion |
j |
-5628353447872/11614241023 |
j-invariant |
L |
7.3935453626357 |
L(r)(E,1)/r! |
Ω |
0.56621449496374 |
Real period |
R |
0.54407718786492 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987533 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344d2 56672m1 |
Quadratic twists by: -4 8 |