Atkin-Lehner |
7- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
38269c |
Isogeny class |
Conductor |
38269 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
201960 |
Modular degree for the optimal curve |
Δ |
19696123340790589 = 76 · 119 · 71 |
Discriminant |
Eigenvalues |
0 0 1 7- 11+ -7 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-67522,-119107] |
[a1,a2,a3,a4,a6] |
Generators |
[-566371:864967:2197] |
Generators of the group modulo torsion |
j |
289381900713984/167414286061 |
j-invariant |
L |
3.5800802992267 |
L(r)(E,1)/r! |
Ω |
0.32457019690201 |
Real period |
R |
11.030218835238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
781a1 |
Quadratic twists by: -7 |