Atkin-Lehner |
2+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
55616m |
Isogeny class |
Conductor |
55616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
69632 |
Modular degree for the optimal curve |
Δ |
75801493504 = 216 · 114 · 79 |
Discriminant |
Eigenvalues |
2+ -3 -3 1 11- -1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1324,12976] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:44:1] [-18:176:1] |
Generators of the group modulo torsion |
j |
3916586628/1156639 |
j-invariant |
L |
5.3380955925789 |
L(r)(E,1)/r! |
Ω |
1.0110946241026 |
Real period |
R |
0.32997008052711 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55616y1 6952b1 |
Quadratic twists by: -4 8 |