Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32175n |
Isogeny class |
Conductor |
32175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
151200 |
Modular degree for the optimal curve |
Δ |
11198408203125 = 36 · 510 · 112 · 13 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 11- 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-738750,-244396094] |
[a1,a2,a3,a4,a6] |
Generators |
[-91930398:530650:185193] |
Generators of the group modulo torsion |
j |
6263089561600/1573 |
j-invariant |
L |
3.6646305506889 |
L(r)(E,1)/r! |
Ω |
0.16284528468884 |
Real period |
R |
11.251877994782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3575a1 32175y1 |
Quadratic twists by: -3 5 |