Atkin-Lehner |
2- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
8008c |
Isogeny class |
Conductor |
8008 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2944 |
Modular degree for the optimal curve |
Δ |
-341076736 = -1 · 28 · 7 · 114 · 13 |
Discriminant |
Eigenvalues |
2- -2 1 7+ 11+ 13- -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,175,67] |
[a1,a2,a3,a4,a6] |
Generators |
[37:242:1] |
Generators of the group modulo torsion |
j |
2302045184/1332331 |
j-invariant |
L |
2.8880018783284 |
L(r)(E,1)/r! |
Ω |
1.0213273822393 |
Real period |
R |
0.70692363892087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16016e1 64064f1 72072m1 56056o1 |
Quadratic twists by: -4 8 -3 -7 |