Atkin-Lehner |
2- 3- 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
95004k |
Isogeny class |
Conductor |
95004 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
828580458418339536 = 24 · 312 · 76 · 134 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 6 13- 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-237324,-7889555] |
[a1,a2,a3,a4,a6] |
Generators |
[867:20930:1] |
Generators of the group modulo torsion |
j |
126736345504694272/71037419274549 |
j-invariant |
L |
9.6259611159458 |
L(r)(E,1)/r! |
Ω |
0.23250187358018 |
Real period |
R |
3.4501374707279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003433 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31668g1 |
Quadratic twists by: -3 |