Atkin-Lehner |
3+ 7- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
31059c |
Isogeny class |
Conductor |
31059 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-13378171312611 = -1 · 33 · 72 · 17 · 296 |
Discriminant |
Eigenvalues |
0 3+ -3 7- 3 5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2496,169305] |
[a1,a2,a3,a4,a6] |
Generators |
[1511:58768:1] |
Generators of the group modulo torsion |
j |
63693291257856/495487826393 |
j-invariant |
L |
4.1518438506246 |
L(r)(E,1)/r! |
Ω |
0.51613798879267 |
Real period |
R |
3.0165217011562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
31059d2 |
Quadratic twists by: -3 |