Atkin-Lehner |
2- 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
31312r |
Isogeny class |
Conductor |
31312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-2436825088 = -1 · 216 · 192 · 103 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 -2 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-371,3634] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-32:1] |
Generators of the group modulo torsion |
j |
-1378749897/594928 |
j-invariant |
L |
2.315590803196 |
L(r)(E,1)/r! |
Ω |
1.357527915733 |
Real period |
R |
0.85287041848628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3914a1 125248w1 |
Quadratic twists by: -4 8 |