Atkin-Lehner |
3- 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
29799f |
Isogeny class |
Conductor |
29799 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-35599941531 = -1 · 36 · 74 · 11 · 432 |
Discriminant |
Eigenvalues |
-2 3- 1 7+ 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,393,8568] |
[a1,a2,a3,a4,a6] |
Generators |
[102:1053:1] |
Generators of the group modulo torsion |
j |
9208180736/48833939 |
j-invariant |
L |
3.1361020040612 |
L(r)(E,1)/r! |
Ω |
0.83556389577258 |
Real period |
R |
0.93831902620726 |
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 |
3311a1 |
Quadratic twists by: -3 |