Atkin-Lehner |
7- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
38269d |
Isogeny class |
Conductor |
38269 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
71040 |
Modular degree for the optimal curve |
Δ |
-1544292186283 = -1 · 711 · 11 · 71 |
Discriminant |
Eigenvalues |
0 0 -4 7- 11+ -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1862,-67314] |
[a1,a2,a3,a4,a6] |
Generators |
[238:3601:1] |
Generators of the group modulo torsion |
j |
-6068404224/13126267 |
j-invariant |
L |
1.6486104853602 |
L(r)(E,1)/r! |
Ω |
0.34043106252895 |
Real period |
R |
1.2106786562841 |
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 |
5467a1 |
Quadratic twists by: -7 |