Atkin-Lehner |
2- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103360bj |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
31421440 = 210 · 5 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 0 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-88,-168] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:12:1] [82:21:8] |
Generators of the group modulo torsion |
j |
73598976/30685 |
j-invariant |
L |
10.303811143372 |
L(r)(E,1)/r! |
Ω |
1.6174609556396 |
Real period |
R |
6.3703615892588 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994556 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103360f1 25840g1 |
Quadratic twists by: -4 8 |