Atkin-Lehner |
2- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
6958k |
Isogeny class |
Conductor |
6958 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
14968717568 = 28 · 77 · 71 |
Discriminant |
Eigenvalues |
2- 0 2 7- -4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-769,5905] |
[a1,a2,a3,a4,a6] |
Generators |
[25:30:1] |
Generators of the group modulo torsion |
j |
426957777/127232 |
j-invariant |
L |
6.4811866915668 |
L(r)(E,1)/r! |
Ω |
1.1567996669113 |
Real period |
R |
2.8013436020742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55664t1 62622bb1 994f1 |
Quadratic twists by: -4 -3 -7 |