Atkin-Lehner |
3- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
13431c |
Isogeny class |
Conductor |
13431 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
-3263733 = -1 · 36 · 112 · 37 |
Discriminant |
Eigenvalues |
1 3- 0 4 11- 0 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,19,-79] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1:1] |
Generators of the group modulo torsion |
j |
6755375/26973 |
j-invariant |
L |
7.7004285218169 |
L(r)(E,1)/r! |
Ω |
1.2755554107555 |
Real period |
R |
1.00615366672 |
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 |
40293h1 13431d1 |
Quadratic twists by: -3 -11 |