Atkin-Lehner |
2+ 3- 5- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
70290h |
Isogeny class |
Conductor |
70290 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
-563655510000 = -1 · 24 · 38 · 54 · 112 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,711,-35555] |
[a1,a2,a3,a4,a6] |
Generators |
[41:-268:1] [262:1057:8] |
Generators of the group modulo torsion |
j |
54483042671/773190000 |
j-invariant |
L |
8.1168973334572 |
L(r)(E,1)/r! |
Ω |
0.45091326476169 |
Real period |
R |
1.1250635609637 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23430g1 |
Quadratic twists by: -3 |