Atkin-Lehner |
2- 7- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
63602o |
Isogeny class |
Conductor |
63602 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
250410015932384 = 25 · 77 · 115 · 59 |
Discriminant |
Eigenvalues |
2- -2 1 7- 11+ -5 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1830445,-953350287] |
[a1,a2,a3,a4,a6] |
Generators |
[-21102:10649:27] |
Generators of the group modulo torsion |
j |
5765082664290763969/2128450016 |
j-invariant |
L |
6.876182959222 |
L(r)(E,1)/r! |
Ω |
0.12979572602855 |
Real period |
R |
2.6488479897009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999593 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9086e1 |
Quadratic twists by: -7 |