Atkin-Lehner |
3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
32175y |
Isogeny class |
Conductor |
32175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
716698125 = 36 · 54 · 112 · 13 |
Discriminant |
Eigenvalues |
0 3- 5- 2 11- 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-29550,-1955169] |
[a1,a2,a3,a4,a6] |
Generators |
[-578862:773:5832] |
Generators of the group modulo torsion |
j |
6263089561600/1573 |
j-invariant |
L |
5.3433186099664 |
L(r)(E,1)/r! |
Ω |
0.36413312637956 |
Real period |
R |
7.3370399764132 |
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 |
3575g1 32175n1 |
Quadratic twists by: -3 5 |