Atkin-Lehner |
2+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31654f |
Isogeny class |
Conductor |
31654 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-110947238599232 = -1 · 26 · 710 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 1 2 7- -3 1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-22860,-1425462] |
[a1,a2,a3,a4,a6] |
Generators |
[4971:18677:27] |
Generators of the group modulo torsion |
j |
-4676755657/392768 |
j-invariant |
L |
5.2291867894475 |
L(r)(E,1)/r! |
Ω |
0.19320671515163 |
Real period |
R |
6.7663108724557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31654b1 |
Quadratic twists by: -7 |