Atkin-Lehner |
2+ 3+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
43152d |
Isogeny class |
Conductor |
43152 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2119680 |
Modular degree for the optimal curve |
Δ |
4105301570677656576 = 210 · 38 · 295 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -4 2 4 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8668904,9826543392] |
[a1,a2,a3,a4,a6] |
j |
70358469917293196436388/4009083565114899 |
j-invariant |
L |
2.8029842314939 |
L(r)(E,1)/r! |
Ω |
0.23358201928757 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21576c1 129456q1 |
Quadratic twists by: -4 -3 |