Atkin-Lehner |
3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
32193j |
Isogeny class |
Conductor |
32193 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-18782780499 = -1 · 37 · 76 · 73 |
Discriminant |
Eigenvalues |
2 3- -1 7- 4 2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2793,57195] |
[a1,a2,a3,a4,a6] |
j |
-28094464/219 |
j-invariant |
L |
4.9176140874674 |
L(r)(E,1)/r! |
Ω |
1.2294035218672 |
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 |
10731g1 657b1 |
Quadratic twists by: -3 -7 |