Atkin-Lehner |
2+ 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31654j |
Isogeny class |
Conductor |
31654 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-1554084784 = -1 · 24 · 72 · 172 · 193 |
Discriminant |
Eigenvalues |
2+ 0 -1 7- -5 0 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2270,42244] |
[a1,a2,a3,a4,a6] |
Generators |
[160:1858:1] [102:937:8] |
Generators of the group modulo torsion |
j |
-26406620024841/31716016 |
j-invariant |
L |
5.7189822658839 |
L(r)(E,1)/r! |
Ω |
1.5006198011899 |
Real period |
R |
0.31759000855013 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31654a1 |
Quadratic twists by: -7 |