Atkin-Lehner |
2- 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18352m |
Isogeny class |
Conductor |
18352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
9102592 = 28 · 312 · 37 |
Discriminant |
Eigenvalues |
2- -1 0 -1 -3 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-333,2449] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:62:1] [1:46:1] |
Generators of the group modulo torsion |
j |
16000000000/35557 |
j-invariant |
L |
5.9218314486147 |
L(r)(E,1)/r! |
Ω |
2.3147942214065 |
Real period |
R |
0.63956348623251 |
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 |
4588c1 73408bf1 |
Quadratic twists by: -4 8 |