Atkin-Lehner |
2- 3+ 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
77910bp |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
36364835304000 = 26 · 36 · 53 · 76 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10291,273713] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:154:1] |
Generators of the group modulo torsion |
j |
1024497361441/309096000 |
j-invariant |
L |
8.1432767555602 |
L(r)(E,1)/r! |
Ω |
0.6036694648466 |
Real period |
R |
2.2482713999128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983651 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1590u1 |
Quadratic twists by: -7 |