Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
38850cv |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
108780000000000 = 211 · 3 · 510 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 1 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-48138,-4038108] |
[a1,a2,a3,a4,a6] |
Generators |
[-124:230:1] |
Generators of the group modulo torsion |
j |
1263247246825/11139072 |
j-invariant |
L |
11.895446637957 |
L(r)(E,1)/r! |
Ω |
0.32248428952323 |
Real period |
R |
1.6766773994062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550cg1 38850s1 |
Quadratic twists by: -3 5 |