Atkin-Lehner |
3+ 5+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
35145a |
Isogeny class |
Conductor |
35145 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3648 |
Modular degree for the optimal curve |
Δ |
-105435 = -1 · 33 · 5 · 11 · 71 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 0 11+ 0 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3,-16] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1:1] [6:13:1] |
Generators of the group modulo torsion |
j |
-110592/3905 |
j-invariant |
L |
4.3798413209866 |
L(r)(E,1)/r! |
Ω |
1.4603695536653 |
Real period |
R |
1.4995660892797 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35145b1 |
Quadratic twists by: -3 |