Atkin-Lehner |
2- 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72670n |
Isogeny class |
Conductor |
72670 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1040256 |
Modular degree for the optimal curve |
Δ |
-91198694607800 = -1 · 23 · 52 · 139 · 43 |
Discriminant |
Eigenvalues |
2- 1 5+ 5 5 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-744871,-247502399] |
[a1,a2,a3,a4,a6] |
j |
-9469059237951481/18894200 |
j-invariant |
L |
7.8004645761991 |
L(r)(E,1)/r! |
Ω |
0.081254839616693 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5590b1 |
Quadratic twists by: 13 |