Atkin-Lehner |
2+ 3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
103824s |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
4844012544 = 210 · 38 · 7 · 103 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2091,36650] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:270:1] [13:108:1] |
Generators of the group modulo torsion |
j |
1354435492/6489 |
j-invariant |
L |
10.223862284962 |
L(r)(E,1)/r! |
Ω |
1.3763303595314 |
Real period |
R |
1.8570872564011 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998306 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51912g1 34608b1 |
Quadratic twists by: -4 -3 |