Atkin-Lehner |
2- 3+ 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
114576be |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
278748316789899264 = 226 · 36 · 72 · 112 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1419584,-650044416] |
[a1,a2,a3,a4,a6] |
Generators |
[9574176:63673344:6859] |
Generators of the group modulo torsion |
j |
77240905699475923777/68053788278784 |
j-invariant |
L |
4.8385804444433 |
L(r)(E,1)/r! |
Ω |
0.13831912291028 |
Real period |
R |
8.7453208933236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999634383 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14322k2 |
Quadratic twists by: -4 |