Atkin-Lehner |
2+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
99176c |
Isogeny class |
Conductor |
99176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
213356932096 = 210 · 77 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- 11+ -5 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5896,174812] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:196:1] [26:196:1] |
Generators of the group modulo torsion |
j |
188183524/1771 |
j-invariant |
L |
8.373811106096 |
L(r)(E,1)/r! |
Ω |
1.0035199636844 |
Real period |
R |
1.0430548729564 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000305 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14168d1 |
Quadratic twists by: -7 |