Atkin-Lehner |
2- 3- 13- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
115362q |
Isogeny class |
Conductor |
115362 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-1162817596302336 = -1 · 210 · 36 · 13 · 173 · 293 |
Discriminant |
Eigenvalues |
2- 3- -3 2 3 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2219,-1640581] |
[a1,a2,a3,a4,a6] |
j |
-1656855346537/1595085865984 |
j-invariant |
L |
4.3994480804959 |
L(r)(E,1)/r! |
Ω |
0.21997241794635 |
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 |
12818c1 |
Quadratic twists by: -3 |