Atkin-Lehner |
2- 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86848p |
Isogeny class |
Conductor |
86848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-9662099048824832 = -1 · 216 · 233 · 594 |
Discriminant |
Eigenvalues |
2- 0 4 0 2 -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20908,-4870320] |
[a1,a2,a3,a4,a6] |
j |
-15423440264964/147431931287 |
j-invariant |
L |
3.1174359985138 |
L(r)(E,1)/r! |
Ω |
0.17319088484161 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86848l1 21712b1 |
Quadratic twists by: -4 8 |