Atkin-Lehner |
2- 3+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
20496r |
Isogeny class |
Conductor |
20496 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
21312 |
Modular degree for the optimal curve |
Δ |
-48206592 = -1 · 28 · 32 · 73 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 4 4 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3421,-75887] |
[a1,a2,a3,a4,a6] |
j |
-17300948475904/188307 |
j-invariant |
L |
3.7454299096542 |
L(r)(E,1)/r! |
Ω |
0.31211915913785 |
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 |
5124b1 81984cp1 61488bx1 |
Quadratic twists by: -4 8 -3 |