Atkin-Lehner |
2- 3- 103- |
Signs for the Atkin-Lehner involutions |
Class |
29664h |
Isogeny class |
Conductor |
29664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-6810335635968 = -1 · 29 · 317 · 103 |
Discriminant |
Eigenvalues |
2- 3- -2 2 5 4 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6051,220426] |
[a1,a2,a3,a4,a6] |
j |
-65645911304/18246141 |
j-invariant |
L |
2.8418352544455 |
L(r)(E,1)/r! |
Ω |
0.710458813611 |
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 |
29664a1 59328s1 9888e1 |
Quadratic twists by: -4 8 -3 |