Atkin-Lehner |
3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10725b |
Isogeny class |
Conductor |
10725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
33515625 = 3 · 57 · 11 · 13 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1125,-15000] |
[a1,a2,a3,a4,a6] |
Generators |
[44:130:1] |
Generators of the group modulo torsion |
j |
10091699281/2145 |
j-invariant |
L |
3.4252506873022 |
L(r)(E,1)/r! |
Ω |
0.82426471581891 |
Real period |
R |
4.1555226392279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32175q1 2145g1 117975r1 |
Quadratic twists by: -3 5 -11 |