Atkin-Lehner |
2- 3- 5- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
99180x |
Isogeny class |
Conductor |
99180 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
142080 |
Modular degree for the optimal curve |
Δ |
-2373826487040 = -1 · 28 · 311 · 5 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -3 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2712,91924] |
[a1,a2,a3,a4,a6] |
Generators |
[45:247:1] |
Generators of the group modulo torsion |
j |
-11820212224/12719835 |
j-invariant |
L |
8.1699753062913 |
L(r)(E,1)/r! |
Ω |
0.74228377746692 |
Real period |
R |
2.7516347323715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001576 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33060g1 |
Quadratic twists by: -3 |