Atkin-Lehner |
2- 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
71478by |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
60554904749146368 = 28 · 37 · 112 · 197 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-484169,129250505] |
[a1,a2,a3,a4,a6] |
j |
365986170577/1765632 |
j-invariant |
L |
5.6420329688885 |
L(r)(E,1)/r! |
Ω |
0.35262705969388 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23826u1 3762d1 |
Quadratic twists by: -3 -19 |