Atkin-Lehner |
2+ 3+ 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550p |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13837824 |
Modular degree for the optimal curve |
Δ |
-1.8644508358724E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 4 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13120275,68188798125] |
[a1,a2,a3,a4,a6] |
j |
-15985732876331510135089/119324853495832320000 |
j-invariant |
L |
1.288561224216 |
L(r)(E,1)/r! |
Ω |
0.071586733277148 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910bi1 |
Quadratic twists by: 5 |