Atkin-Lehner |
2+ 3+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
95424q |
Isogeny class |
Conductor |
95424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
144384 |
Modular degree for the optimal curve |
Δ |
-707271905088 = -1 · 26 · 33 · 78 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1756,-29490] |
[a1,a2,a3,a4,a6] |
Generators |
[458:4043:8] |
Generators of the group modulo torsion |
j |
9351255626432/11051123517 |
j-invariant |
L |
5.6530037472414 |
L(r)(E,1)/r! |
Ω |
0.48566789868668 |
Real period |
R |
5.8198243600504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021049 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95424r1 47712k2 |
Quadratic twists by: -4 8 |