Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3648bf |
Isogeny class |
Conductor |
3648 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
14942208 = 218 · 3 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-97,287] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:12:1] |
Generators of the group modulo torsion |
j |
389017/57 |
j-invariant |
L |
4.4803486366504 |
L(r)(E,1)/r! |
Ω |
2.1270421965313 |
Real period |
R |
2.1063750610857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3648g1 912g1 10944cb1 91200ez1 |
Quadratic twists by: -4 8 -3 5 |