Atkin-Lehner |
2- 3- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
103824bn |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
19376050176 = 212 · 38 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 6 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2019,-34270] |
[a1,a2,a3,a4,a6] |
Generators |
[553:12960:1] |
Generators of the group modulo torsion |
j |
304821217/6489 |
j-invariant |
L |
9.4900898526245 |
L(r)(E,1)/r! |
Ω |
0.71314496073658 |
Real period |
R |
3.3268445933862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026255 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6489g1 34608l1 |
Quadratic twists by: -4 -3 |