Atkin-Lehner |
2- 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
69828ba |
Isogeny class |
Conductor |
69828 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
35385070656302928 = 24 · 310 · 11 · 237 |
Discriminant |
Eigenvalues |
2- 3- 4 0 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-87461,4118892] |
[a1,a2,a3,a4,a6] |
j |
31238127616/14939397 |
j-invariant |
L |
4.903664684013 |
L(r)(E,1)/r! |
Ω |
0.3269109795739 |
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 |
3036j1 |
Quadratic twists by: -23 |