Atkin-Lehner |
2- 7- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76342w |
Isogeny class |
Conductor |
76342 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25728 |
Modular degree for the optimal curve |
Δ |
-25040176 = -1 · 24 · 72 · 19 · 412 |
Discriminant |
Eigenvalues |
2- -2 -3 7- -5 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,13,-239] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-47:1] [62:117:8] |
Generators of the group modulo torsion |
j |
4934783/511024 |
j-invariant |
L |
8.6395114391424 |
L(r)(E,1)/r! |
Ω |
1.0072781451056 |
Real period |
R |
1.0721357701897 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999522 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76342m1 |
Quadratic twists by: -7 |