Atkin-Lehner |
2+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
32032f |
Isogeny class |
Conductor |
32032 |
Conductor |
∏ cp |
64 |
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 |
[1555:61516:1] |
Generators of the group modulo torsion |
j |
13426966840832/21544264072331 |
j-invariant |
L |
2.3653691772914 |
L(r)(E,1)/r! |
Ω |
0.26630508776323 |
Real period |
R |
0.13878403039764 |
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 |
32032c1 64064bl1 |
Quadratic twists by: -4 8 |