Atkin-Lehner |
3+ 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
67275c |
Isogeny class |
Conductor |
67275 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-2.4044461823174E+22 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 -4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4689183,-6355953784] |
[a1,a2,a3,a4,a6] |
j |
37076940247750677/78181453878125 |
j-invariant |
L |
0.49852565006798 |
L(r)(E,1)/r! |
Ω |
0.06231570611785 |
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 |
67275d1 13455a1 |
Quadratic twists by: -3 5 |