Atkin-Lehner |
2+ 3+ 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
122640c |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
113664 |
Modular degree for the optimal curve |
Δ |
-21725308080 = -1 · 24 · 312 · 5 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,609,3906] |
[a1,a2,a3,a4,a6] |
j |
1558627321856/1357831755 |
j-invariant |
L |
1.5714172722519 |
L(r)(E,1)/r! |
Ω |
0.78570820870717 |
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 |
61320m1 |
Quadratic twists by: -4 |