Atkin-Lehner |
2+ 3- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31416d |
Isogeny class |
Conductor |
31416 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-9.9794719677024E+21 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 11+ 1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-108940536,437645563488] |
[a1,a2,a3,a4,a6] |
j |
-139634354797245012923078116/9745578093459352221 |
j-invariant |
L |
1.4706195445725 |
L(r)(E,1)/r! |
Ω |
0.12255162871442 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62832k1 94248x1 |
Quadratic twists by: -4 -3 |