Atkin-Lehner |
3- 7- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
116571i |
Isogeny class |
Conductor |
116571 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3112922203662999 = 3 · 78 · 13 · 614 |
Discriminant |
Eigenvalues |
1 3- -2 7- 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-503207,-137409625] |
[a1,a2,a3,a4,a6] |
Generators |
[-420090853212794:71994844003329:1032138271016] |
Generators of the group modulo torsion |
j |
119777226608900953/26459402151 |
j-invariant |
L |
8.2848719777365 |
L(r)(E,1)/r! |
Ω |
0.17925395504282 |
Real period |
R |
23.109314363817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999778542 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16653f4 |
Quadratic twists by: -7 |