Atkin-Lehner |
2- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
116380d |
Isogeny class |
Conductor |
116380 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-71254818800 = -1 · 24 · 52 · 114 · 233 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 11- 5 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,974,4985] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:55:1] [8:115:1] |
Generators of the group modulo torsion |
j |
524386048/366025 |
j-invariant |
L |
8.5870686931986 |
L(r)(E,1)/r! |
Ω |
0.69236039206237 |
Real period |
R |
0.25838749071728 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003611 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116380h1 |
Quadratic twists by: -23 |