Atkin-Lehner |
2+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
32032c |
Isogeny class |
Conductor |
32032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
282624 |
Modular degree for the optimal curve |
Δ |
-88245305640267776 = -1 · 212 · 74 · 11 · 138 |
Discriminant |
Eigenvalues |
2+ 1 -3 7+ 11- 13- -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7923,-14287141] |
[a1,a2,a3,a4,a6] |
Generators |
[265:2548:1] |
Generators of the group modulo torsion |
j |
13426966840832/21544264072331 |
j-invariant |
L |
4.3601731482335 |
L(r)(E,1)/r! |
Ω |
0.15805101366294 |
Real period |
R |
0.86209767165983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32032f1 64064v1 |
Quadratic twists by: -4 8 |