Atkin-Lehner |
3- 5- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
12765f |
Isogeny class |
Conductor |
12765 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
19872 |
Modular degree for the optimal curve |
Δ |
-1256036109375 = -1 · 3 · 56 · 232 · 373 |
Discriminant |
Eigenvalues |
1 3- 5- 4 4 0 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2207,36431] |
[a1,a2,a3,a4,a6] |
j |
1189634506489079/1256036109375 |
j-invariant |
L |
5.13343719397 |
L(r)(E,1)/r! |
Ω |
0.57038191044111 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38295g1 63825a1 |
Quadratic twists by: -3 5 |