Atkin-Lehner |
2+ 3- 11- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
59202r |
Isogeny class |
Conductor |
59202 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
-52489035016704 = -1 · 29 · 36 · 112 · 133 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 3 -3 11- 13- 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22758,-1360972] |
[a1,a2,a3,a4,a6] |
j |
-1788171617409633/72001419776 |
j-invariant |
L |
2.3267135929722 |
L(r)(E,1)/r! |
Ω |
0.19389279960944 |
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 |
6578d1 |
Quadratic twists by: -3 |