Atkin-Lehner |
3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2925p |
Isogeny class |
Conductor |
2925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-4317958125 = -1 · 312 · 54 · 13 |
Discriminant |
Eigenvalues |
1 3- 5- -1 1 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,108,-3159] |
[a1,a2,a3,a4,a6] |
Generators |
[48:309:1] |
Generators of the group modulo torsion |
j |
304175/9477 |
j-invariant |
L |
3.9363886867358 |
L(r)(E,1)/r! |
Ω |
0.66666676024733 |
Real period |
R |
2.9522911006358 |
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 |
46800eo1 975k1 2925i1 38025cj1 |
Quadratic twists by: -4 -3 5 13 |