Atkin-Lehner |
2+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
6958i |
Isogeny class |
Conductor |
6958 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
106920 |
Modular degree for the optimal curve |
Δ |
1121131285184512 = 227 · 76 · 71 |
Discriminant |
Eigenvalues |
2+ -3 -2 7- -6 5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-128683,-17662331] |
[a1,a2,a3,a4,a6] |
Generators |
[-207:374:1] |
Generators of the group modulo torsion |
j |
2003092024307193/9529458688 |
j-invariant |
L |
1.1988681675689 |
L(r)(E,1)/r! |
Ω |
0.25214098396173 |
Real period |
R |
4.7547532683177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55664r1 62622cc1 142e1 |
Quadratic twists by: -4 -3 -7 |