Atkin-Lehner |
2+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
62974b |
Isogeny class |
Conductor |
62974 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
183312 |
Modular degree for the optimal curve |
Δ |
16508256256 = 219 · 23 · 372 |
Discriminant |
Eigenvalues |
2+ -1 3 4 2 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-92306,10755892] |
[a1,a2,a3,a4,a6] |
Generators |
[21805:-9324:125] |
Generators of the group modulo torsion |
j |
63535640188229713/12058624 |
j-invariant |
L |
5.5252790444426 |
L(r)(E,1)/r! |
Ω |
0.97582148289222 |
Real period |
R |
5.6621822137433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000401 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62974i1 |
Quadratic twists by: 37 |