Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550gz |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
154828800 |
Modular degree for the optimal curve |
Δ |
4.3742844862237E+28 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 13+ 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1879875838,-29715160950469] |
[a1,a2,a3,a4,a6] |
Generators |
[-28585:829917:1] |
Generators of the group modulo torsion |
j |
399671282266555297146121/23795714975760000000 |
j-invariant |
L |
7.477094966354 |
L(r)(E,1)/r! |
Ω |
0.023013396123427 |
Real period |
R |
4.0612731284088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999796633 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110bc1 13650cq1 |
Quadratic twists by: 5 -7 |