Atkin-Lehner |
2- 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35136ci |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-230527296 = -1 · 26 · 310 · 61 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 -1 3 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,141,-344] |
[a1,a2,a3,a4,a6] |
Generators |
[8:36:1] |
Generators of the group modulo torsion |
j |
6644672/4941 |
j-invariant |
L |
3.3798820266529 |
L(r)(E,1)/r! |
Ω |
0.98823650738895 |
Real period |
R |
1.7100572592599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35136cg1 17568n1 11712bj1 |
Quadratic twists by: -4 8 -3 |