Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712ct |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-6551207936 = -1 · 215 · 7 · 134 |
Discriminant |
Eigenvalues |
2- -1 1 7- -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-225,-4031] |
[a1,a2,a3,a4,a6] |
Generators |
[21:8:1] |
Generators of the group modulo torsion |
j |
-1352/7 |
j-invariant |
L |
4.2640043012881 |
L(r)(E,1)/r! |
Ω |
0.55526788693507 |
Real period |
R |
1.919796011625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005634 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75712bx1 37856f1 75712ca1 |
Quadratic twists by: -4 8 13 |