Atkin-Lehner |
2+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
2678h |
Isogeny class |
Conductor |
2678 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
42848 = 25 · 13 · 103 |
Discriminant |
Eigenvalues |
2+ -2 0 -1 3 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-31246,2123232] |
[a1,a2,a3,a4,a6] |
Generators |
[305690:305549:2744] |
Generators of the group modulo torsion |
j |
3373548958002561625/42848 |
j-invariant |
L |
1.6797127147276 |
L(r)(E,1)/r! |
Ω |
1.8286606863996 |
Real period |
R |
8.2669324850596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
21424o1 85696p1 24102be1 66950x1 |
Quadratic twists by: -4 8 -3 5 |