Atkin-Lehner |
2+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30682a |
Isogeny class |
Conductor |
30682 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-5095684222208848412 = -1 · 22 · 239 · 294 |
Discriminant |
Eigenvalues |
2+ 0 0 -4 -2 6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-162502,111536352] |
[a1,a2,a3,a4,a6] |
j |
-3205784543625/34421951708 |
j-invariant |
L |
0.4129425280105 |
L(r)(E,1)/r! |
Ω |
0.20647126400772 |
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 |
1334b1 |
Quadratic twists by: -23 |