Atkin-Lehner |
3+ 7- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
98637j |
Isogeny class |
Conductor |
98637 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
81064152946161 = 37 · 73 · 116 · 61 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 11- -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16349,671280] |
[a1,a2,a3,a4,a6] |
j |
1409109293223631/236338638327 |
j-invariant |
L |
1.7437385535069 |
L(r)(E,1)/r! |
Ω |
0.58124633613801 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98637o1 |
Quadratic twists by: -7 |