Atkin-Lehner |
2+ 3- 7+ 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
38766t |
Isogeny class |
Conductor |
38766 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
755712 |
Modular degree for the optimal curve |
Δ |
15242141171712 = 216 · 3 · 7 · 133 · 712 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4845432,-4105721786] |
[a1,a2,a3,a4,a6] |
j |
12581171795769949348527097/15242141171712 |
j-invariant |
L |
1.2210900310782 |
L(r)(E,1)/r! |
Ω |
0.1017575025933 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116298bb1 |
Quadratic twists by: -3 |