Atkin-Lehner |
2- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
31648b |
Isogeny class |
Conductor |
31648 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
-4050944 = -1 · 212 · 23 · 43 |
Discriminant |
Eigenvalues |
2- -1 2 -2 -1 5 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17,-95] |
[a1,a2,a3,a4,a6] |
Generators |
[9:20:1] |
Generators of the group modulo torsion |
j |
-140608/989 |
j-invariant |
L |
5.2871675195029 |
L(r)(E,1)/r! |
Ω |
1.0378915738699 |
Real period |
R |
1.2735356111884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31648a1 63296d1 |
Quadratic twists by: -4 8 |