Atkin-Lehner |
2- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
33418bm |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-2169988421629952 = -1 · 211 · 710 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 1 2 7- 11- -3 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-136907,-19637647] |
[a1,a2,a3,a4,a6] |
Generators |
[806:19441:1] |
Generators of the group modulo torsion |
j |
-1004663148097/7682048 |
j-invariant |
L |
11.505806479615 |
L(r)(E,1)/r! |
Ω |
0.12404088017969 |
Real period |
R |
4.2162809781844 |
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 |
33418x1 |
Quadratic twists by: -7 |