Atkin-Lehner |
3+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
76893c |
Isogeny class |
Conductor |
76893 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6696 |
Modular degree for the optimal curve |
Δ |
692037 = 33 · 192 · 71 |
Discriminant |
Eigenvalues |
0 3+ 0 2 -3 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-63,-169] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:3:8] |
Generators of the group modulo torsion |
j |
77824000/1917 |
j-invariant |
L |
4.6831257733091 |
L(r)(E,1)/r! |
Ω |
1.6948980626601 |
Real period |
R |
2.7630722339607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935494 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76893f1 |
Quadratic twists by: -19 |