Atkin-Lehner |
5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
18515d |
Isogeny class |
Conductor |
18515 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
556416 |
Modular degree for the optimal curve |
Δ |
-2098489683701796875 = -1 · 57 · 73 · 238 |
Discriminant |
Eigenvalues |
-1 -3 5+ 7+ 5 -2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-387063,-115871094] |
[a1,a2,a3,a4,a6] |
j |
-81892654209/26796875 |
j-invariant |
L |
0.3765469324302 |
L(r)(E,1)/r! |
Ω |
0.094136733107551 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92575t1 129605bc1 18515q1 |
Quadratic twists by: 5 -7 -23 |