Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
32340f |
Isogeny class |
Conductor |
32340 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
4354560 |
Modular degree for the optimal curve |
Δ |
-5.2212079910986E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 6 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96246061,-363565654535] |
[a1,a2,a3,a4,a6] |
j |
-3273741656681120014336/1733575611796875 |
j-invariant |
L |
1.4459766301834 |
L(r)(E,1)/r! |
Ω |
0.02409961050305 |
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 |
129360gc1 97020cq1 4620m1 |
Quadratic twists by: -4 -3 -7 |