Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
2352x |
Isogeny class |
Conductor |
2352 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-999664087597056 = -1 · 217 · 33 · 710 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -3 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,18408,-1172844] |
[a1,a2,a3,a4,a6] |
j |
596183/864 |
j-invariant |
L |
1.5716735031726 |
L(r)(E,1)/r! |
Ω |
0.26194558386209 |
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 |
294e1 9408cg1 7056bz1 58800fv1 |
Quadratic twists by: -4 8 -3 5 |