Atkin-Lehner |
2+ 3- 5+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
76590q |
Isogeny class |
Conductor |
76590 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
565248 |
Modular degree for the optimal curve |
Δ |
5776569029099520 = 224 · 37 · 5 · 23 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-100845,-11746139] |
[a1,a2,a3,a4,a6] |
j |
155582848011514321/7923963002880 |
j-invariant |
L |
2.1500466203123 |
L(r)(E,1)/r! |
Ω |
0.26875582476806 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25530ba1 |
Quadratic twists by: -3 |