Atkin-Lehner |
2+ 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
35568s |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
700084944 = 24 · 311 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-180066,-29410045] |
[a1,a2,a3,a4,a6] |
j |
55356847905445888/60021 |
j-invariant |
L |
1.8540934189192 |
L(r)(E,1)/r! |
Ω |
0.23176167736794 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17784q1 11856f1 |
Quadratic twists by: -4 -3 |