Atkin-Lehner |
2+ 5- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
123760p |
Isogeny class |
Conductor |
123760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18944 |
Modular degree for the optimal curve |
Δ |
4331600 = 24 · 52 · 72 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 4 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-62,159] |
[a1,a2,a3,a4,a6] |
j |
1647323136/270725 |
j-invariant |
L |
2.3481253698853 |
L(r)(E,1)/r! |
Ω |
2.3481260499503 |
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 |
61880f1 |
Quadratic twists by: -4 |