Atkin-Lehner |
3+ 5+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12765b |
Isogeny class |
Conductor |
12765 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5136 |
Modular degree for the optimal curve |
Δ |
-401931555 = -1 · 3 · 5 · 232 · 373 |
Discriminant |
Eigenvalues |
0 3+ 5+ 4 -2 3 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-361,-2694] |
[a1,a2,a3,a4,a6] |
j |
-5217323843584/401931555 |
j-invariant |
L |
1.0902005741238 |
L(r)(E,1)/r! |
Ω |
0.54510028706188 |
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 |
38295h1 63825l1 |
Quadratic twists by: -3 5 |