Atkin-Lehner |
2- 3- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9918p |
Isogeny class |
Conductor |
9918 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-8242800911519976 = -1 · 23 · 315 · 195 · 29 |
Discriminant |
Eigenvalues |
2- 3- -3 2 -1 5 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-146039,21956919] |
[a1,a2,a3,a4,a6] |
Generators |
[209:624:1] |
Generators of the group modulo torsion |
j |
-472497970270424617/11306997135144 |
j-invariant |
L |
5.9554011331873 |
L(r)(E,1)/r! |
Ω |
0.41367593408504 |
Real period |
R |
1.1996913208482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79344bv1 3306b1 |
Quadratic twists by: -4 -3 |