Atkin-Lehner |
2+ 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63840c |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
254721600 = 26 · 32 · 52 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-446,3696] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:84:1] [-5:76:1] |
Generators of the group modulo torsion |
j |
153646158016/3980025 |
j-invariant |
L |
8.3854288337889 |
L(r)(E,1)/r! |
Ω |
1.7453980260013 |
Real period |
R |
2.4021537520044 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999866 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63840p1 127680gp2 |
Quadratic twists by: -4 8 |