Atkin-Lehner |
2- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
31552v |
Isogeny class |
Conductor |
31552 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-6956051857408 = -1 · 224 · 17 · 293 |
Discriminant |
Eigenvalues |
2- -2 0 -5 0 -5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37473,2782495] |
[a1,a2,a3,a4,a6] |
Generators |
[13755:7424:125] [117:116:1] |
Generators of the group modulo torsion |
j |
-22199887257625/26535232 |
j-invariant |
L |
5.1556133619305 |
L(r)(E,1)/r! |
Ω |
0.74474754939908 |
Real period |
R |
0.57688601617314 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31552l2 7888g2 |
Quadratic twists by: -4 8 |