Atkin-Lehner |
2+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
62974a |
Isogeny class |
Conductor |
62974 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1006992 |
Modular degree for the optimal curve |
Δ |
5470251202029671296 = 27 · 233 · 378 |
Discriminant |
Eigenvalues |
2+ -1 -1 0 -4 6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-520248,90326464] |
[a1,a2,a3,a4,a6] |
Generators |
[-5145:367411:27] |
Generators of the group modulo torsion |
j |
4433456809/1557376 |
j-invariant |
L |
2.7530485605916 |
L(r)(E,1)/r! |
Ω |
0.22123853773114 |
Real period |
R |
4.1479340033503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000262 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62974h1 |
Quadratic twists by: 37 |