Atkin-Lehner |
2+ 3+ 5- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
23790b |
Isogeny class |
Conductor |
23790 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
388800 |
Modular degree for the optimal curve |
Δ |
-864457827614316000 = -1 · 25 · 39 · 53 · 13 · 615 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -1 13+ 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,76908,-43941456] |
[a1,a2,a3,a4,a6] |
j |
50307118408913789879/864457827614316000 |
j-invariant |
L |
0.41114306958927 |
L(r)(E,1)/r! |
Ω |
0.13704768986307 |
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 |
71370u1 118950br1 |
Quadratic twists by: -3 5 |