Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
76050fl |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-9457364603700 = -1 · 22 · 316 · 52 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 5 13- -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3425,167717] |
[a1,a2,a3,a4,a6] |
j |
-110940205/236196 |
j-invariant |
L |
5.1774558553862 |
L(r)(E,1)/r! |
Ω |
0.64718198471096 |
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 |
25350bm1 76050dd2 76050ce1 |
Quadratic twists by: -3 5 13 |