Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
59976bk |
Isogeny class |
Conductor |
59976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
329728 |
Modular degree for the optimal curve |
Δ |
-3072628233529344 = -1 · 211 · 37 · 79 · 17 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 3 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81291,9311078] |
[a1,a2,a3,a4,a6] |
j |
-986078/51 |
j-invariant |
L |
3.5557631048673 |
L(r)(E,1)/r! |
Ω |
0.44447038773776 |
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 |
119952bc1 19992k1 59976bs1 |
Quadratic twists by: -4 -3 -7 |