Atkin-Lehner |
2+ 3- 11+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
97614i |
Isogeny class |
Conductor |
97614 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-205910076506112 = -1 · 214 · 36 · 112 · 173 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 -3 11+ -5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27081,-1842291] |
[a1,a2,a3,a4,a6] |
Generators |
[258:2751:1] |
Generators of the group modulo torsion |
j |
-3013001140430737/282455523328 |
j-invariant |
L |
3.4731682899636 |
L(r)(E,1)/r! |
Ω |
0.18509432157805 |
Real period |
R |
2.3455394522842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059666 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10846g1 |
Quadratic twists by: -3 |