Atkin-Lehner |
2+ 3+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
62814c |
Isogeny class |
Conductor |
62814 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
656640 |
Modular degree for the optimal curve |
Δ |
19882181712333552 = 24 · 3 · 198 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 4 -6 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-67875,522717] |
[a1,a2,a3,a4,a6] |
Generators |
[-262:769:1] [-211:2452:1] |
Generators of the group modulo torsion |
j |
2036265625/1170672 |
j-invariant |
L |
6.3439496456859 |
L(r)(E,1)/r! |
Ω |
0.32852153741312 |
Real period |
R |
1.072811389349 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999806 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62814u1 |
Quadratic twists by: -19 |