Atkin-Lehner |
3+ 7+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
98637a |
Isogeny class |
Conductor |
98637 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2467584 |
Modular degree for the optimal curve |
Δ |
-260767098445308147 = -1 · 33 · 78 · 112 · 614 |
Discriminant |
Eigenvalues |
2 3+ 4 7+ 11+ -1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,32814,24451139] |
[a1,a2,a3,a4,a6] |
j |
677803298816/45234362547 |
j-invariant |
L |
5.6857662288581 |
L(r)(E,1)/r! |
Ω |
0.23690692633914 |
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 |
98637n1 |
Quadratic twists by: -7 |