Atkin-Lehner |
2- 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
98600r |
Isogeny class |
Conductor |
98600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-56990800000000 = -1 · 210 · 58 · 173 · 29 |
Discriminant |
Eigenvalues |
2- -2 5- 0 -4 1 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5792,323088] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:476:1] |
Generators of the group modulo torsion |
j |
53712380/142477 |
j-invariant |
L |
4.6299862133693 |
L(r)(E,1)/r! |
Ω |
0.43932984370335 |
Real period |
R |
1.7564578967177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999437366 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98600a1 |
Quadratic twists by: 5 |