Atkin-Lehner |
2- 3+ 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
102480bn |
Isogeny class |
Conductor |
102480 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
480000 |
Modular degree for the optimal curve |
Δ |
3188866060800000 = 212 · 35 · 55 · 75 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 3 -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40965,-1660563] |
[a1,a2,a3,a4,a6] |
j |
1856150741979136/778531753125 |
j-invariant |
L |
1.7417269766017 |
L(r)(E,1)/r! |
Ω |
0.34834537607686 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6405m1 |
Quadratic twists by: -4 |