Atkin-Lehner |
2+ 3- 5+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
122130t |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1651200 |
Modular degree for the optimal curve |
Δ |
-32289865128882720 = -1 · 25 · 312 · 5 · 235 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -1 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1244655,-534226739] |
[a1,a2,a3,a4,a6] |
j |
-292511769038446967281/44293367803680 |
j-invariant |
L |
0.71466767604475 |
L(r)(E,1)/r! |
Ω |
0.071466637696287 |
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 |
40710t1 |
Quadratic twists by: -3 |