Atkin-Lehner |
5+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
20425b |
Isogeny class |
Conductor |
20425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
148480 |
Modular degree for the optimal curve |
Δ |
-829219498796875 = -1 · 56 · 192 · 435 |
Discriminant |
Eigenvalues |
0 2 5+ -4 3 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-416233,103508243] |
[a1,a2,a3,a4,a6] |
j |
-510404220761669632/53070047923 |
j-invariant |
L |
1.9240068012758 |
L(r)(E,1)/r! |
Ω |
0.48100170031896 |
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 |
817b1 |
Quadratic twists by: 5 |