Atkin-Lehner |
2+ 7+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
116242h |
Isogeny class |
Conductor |
116242 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8455955849147297288 = 23 · 76 · 198 · 232 |
Discriminant |
Eigenvalues |
2+ -2 2 7+ 2 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5619695,-5126195142] |
[a1,a2,a3,a4,a6] |
Generators |
[-19348234112212:19205432967022:13945313143] |
Generators of the group modulo torsion |
j |
417196092395667313/179738495048 |
j-invariant |
L |
3.6619232526633 |
L(r)(E,1)/r! |
Ω |
0.098057904223755 |
Real period |
R |
18.672249456647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998769484 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6118j2 |
Quadratic twists by: -19 |