Atkin-Lehner |
2+ 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
118440ba |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-65231881788654000 = -1 · 24 · 316 · 53 · 73 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,94362,-5150063] |
[a1,a2,a3,a4,a6] |
j |
7966500957353984/5592582457875 |
j-invariant |
L |
2.3607171007156 |
L(r)(E,1)/r! |
Ω |
0.19672642517271 |
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 |
39480bg1 |
Quadratic twists by: -3 |