Atkin-Lehner |
2+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
6958g |
Isogeny class |
Conductor |
6958 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
110880 |
Modular degree for the optimal curve |
Δ |
21029970435375104 = 220 · 710 · 71 |
Discriminant |
Eigenvalues |
2+ 2 1 7- 4 0 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-822392,286628672] |
[a1,a2,a3,a4,a6] |
Generators |
[-27888:174712:27] |
Generators of the group modulo torsion |
j |
217761333851929/74448896 |
j-invariant |
L |
4.5711179991631 |
L(r)(E,1)/r! |
Ω |
0.37567388392271 |
Real period |
R |
6.0838911018147 |
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 |
55664p1 62622ca1 6958a1 |
Quadratic twists by: -4 -3 -7 |