Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712bu |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-22929227776 = -1 · 214 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 0 -3 7+ -2 13+ -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,676,2704] |
[a1,a2,a3,a4,a6] |
Generators |
[78:-728:1] [12:112:1] |
Generators of the group modulo torsion |
j |
73008/49 |
j-invariant |
L |
7.8826703126173 |
L(r)(E,1)/r! |
Ω |
0.75610504350677 |
Real period |
R |
0.43439016731972 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999655 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75712bb1 18928k1 75712cl1 |
Quadratic twists by: -4 8 13 |