Atkin-Lehner |
2- 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
17328u |
Isogeny class |
Conductor |
17328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-7336899233712 = -1 · 24 · 33 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -2 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,963,129492] |
[a1,a2,a3,a4,a6] |
Generators |
[-1075204:6418580:29791] |
Generators of the group modulo torsion |
j |
131072/9747 |
j-invariant |
L |
4.7308322778176 |
L(r)(E,1)/r! |
Ω |
0.56812236168864 |
Real period |
R |
8.3271361890352 |
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 |
4332c1 69312dn1 51984cs1 912j1 |
Quadratic twists by: -4 8 -3 -19 |