Atkin-Lehner |
2+ 3- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
117438j |
Isogeny class |
Conductor |
117438 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
-387006079607808 = -1 · 210 · 3 · 237 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 5 -6 -2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-39422,3154544] |
[a1,a2,a3,a4,a6] |
j |
-45767461033/2614272 |
j-invariant |
L |
2.1093027864544 |
L(r)(E,1)/r! |
Ω |
0.52732557173669 |
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 |
5106b1 |
Quadratic twists by: -23 |