Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
4598q |
Isogeny class |
Conductor |
4598 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8160 |
Modular degree for the optimal curve |
Δ |
-7632119044 = -1 · 22 · 114 · 194 |
Discriminant |
Eigenvalues |
2- 0 -1 -4 11- -5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22408,-1285457] |
[a1,a2,a3,a4,a6] |
j |
-84985354223649/521284 |
j-invariant |
L |
1.5608462538628 |
L(r)(E,1)/r! |
Ω |
0.19510578173285 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36784q1 41382bd1 114950y1 4598c1 |
Quadratic twists by: -4 -3 5 -11 |