Atkin-Lehner |
3+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
15975c |
Isogeny class |
Conductor |
15975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
2729478515625 = 39 · 59 · 71 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6117,-164584] |
[a1,a2,a3,a4,a6] |
Generators |
[-228592:217903:4096] |
Generators of the group modulo torsion |
j |
658503/71 |
j-invariant |
L |
5.2222081809908 |
L(r)(E,1)/r! |
Ω |
0.54360738183672 |
Real period |
R |
9.6065806968004 |
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 |
15975b1 15975d1 |
Quadratic twists by: -3 5 |