Atkin-Lehner |
5+ 7+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
98735a |
Isogeny class |
Conductor |
98735 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1048320 |
Modular degree for the optimal curve |
Δ |
153368477229296875 = 58 · 78 · 133 · 31 |
Discriminant |
Eigenvalues |
-1 1 5+ 7+ 4 13+ 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-168806,18896345] |
[a1,a2,a3,a4,a6] |
j |
92279065937569/26604296875 |
j-invariant |
L |
1.8116350468954 |
L(r)(E,1)/r! |
Ω |
0.30193919090682 |
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 |
98735v1 |
Quadratic twists by: -7 |