Atkin-Lehner |
2+ 3- 5+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
29670o |
Isogeny class |
Conductor |
29670 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-1780200 = -1 · 23 · 32 · 52 · 23 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 6 -4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-154,-748] |
[a1,a2,a3,a4,a6] |
j |
-400152624409/1780200 |
j-invariant |
L |
2.7118903157464 |
L(r)(E,1)/r! |
Ω |
0.67797257893726 |
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 |
89010bv1 |
Quadratic twists by: -3 |