Atkin-Lehner |
2+ 3+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
44520c |
Isogeny class |
Conductor |
44520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
168533154849024000 = 211 · 314 · 53 · 72 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-222696,35373996] |
[a1,a2,a3,a4,a6] |
Generators |
[6913:573426:1] |
Generators of the group modulo torsion |
j |
596393579364777938/82291579516125 |
j-invariant |
L |
4.8827638890088 |
L(r)(E,1)/r! |
Ω |
0.30975043924157 |
Real period |
R |
7.8817707264189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999785 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89040k2 |
Quadratic twists by: -4 |