Atkin-Lehner |
2- 3- 11- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31746bl |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
575 |
Product of Tamagawa factors cp |
deg |
42724800 |
Modular degree for the optimal curve |
Δ |
-3.8669331518123E+27 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 11- 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17173754321,-866262052408791] |
[a1,a2,a3,a4,a6] |
j |
-560169488148528099684376201292918929/3866933151812284977946558464 |
j-invariant |
L |
3.7915860118418 |
L(r)(E,1)/r! |
Ω |
0.00659406262929 |
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 |
95238i1 |
Quadratic twists by: -3 |