Atkin-Lehner |
2+ 3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450x |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
33032379656250000 = 24 · 314 · 59 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 13+ 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-105192,9823216] |
[a1,a2,a3,a4,a6] |
Generators |
[-626:33847:8] |
Generators of the group modulo torsion |
j |
11301253512121/2899962000 |
j-invariant |
L |
5.5915729863694 |
L(r)(E,1)/r! |
Ω |
0.34542894571145 |
Real period |
R |
4.0468329801486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999770316 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33150bf1 19890v1 |
Quadratic twists by: -3 5 |