Atkin-Lehner |
2- 37- 79- |
Signs for the Atkin-Lehner involutions |
Class |
46768g |
Isogeny class |
Conductor |
46768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
7087783936 = 216 · 372 · 79 |
Discriminant |
Eigenvalues |
2- -1 -1 -1 2 -3 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-496,1472] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:74:1] [-11:74:1] |
Generators of the group modulo torsion |
j |
3301293169/1730416 |
j-invariant |
L |
7.2769628723279 |
L(r)(E,1)/r! |
Ω |
1.1652803383136 |
Real period |
R |
1.5612043370737 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5846c1 |
Quadratic twists by: -4 |