Atkin-Lehner |
2- 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
99238o |
Isogeny class |
Conductor |
99238 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
940576 |
Modular degree for the optimal curve |
Δ |
-18399665029906432 = -1 · 219 · 296 · 59 |
Discriminant |
Eigenvalues |
2- -2 2 -3 -1 3 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,46658,-5244348] |
[a1,a2,a3,a4,a6] |
Generators |
[128:1618:1] |
Generators of the group modulo torsion |
j |
18884848247/30932992 |
j-invariant |
L |
8.4232512868416 |
L(r)(E,1)/r! |
Ω |
0.20408061527565 |
Real period |
R |
1.0861615043804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999749971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118d1 |
Quadratic twists by: 29 |