Atkin-Lehner |
2+ 3- 11- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
35178k |
Isogeny class |
Conductor |
35178 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-18449876016 = -1 · 24 · 32 · 11 · 132 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 11- 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2358,44344] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:249:1] |
Generators of the group modulo torsion |
j |
-1449073218392281/18449876016 |
j-invariant |
L |
5.8248287693328 |
L(r)(E,1)/r! |
Ω |
1.2291802408509 |
Real period |
R |
0.19744964217307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105534bf1 |
Quadratic twists by: -3 |