Atkin-Lehner |
2+ 3+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
62328a |
Isogeny class |
Conductor |
62328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1193472 |
Modular degree for the optimal curve |
Δ |
166270500082455552 = 210 · 312 · 78 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 1 -7 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1597808,-776602980] |
[a1,a2,a3,a4,a6] |
Generators |
[-91630:58568:125] |
Generators of the group modulo torsion |
j |
76421134562500/28166373 |
j-invariant |
L |
4.0577037156002 |
L(r)(E,1)/r! |
Ω |
0.13428515057122 |
Real period |
R |
7.5542673520354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000756 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124656t1 62328r1 |
Quadratic twists by: -4 -7 |