Atkin-Lehner |
2+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
99176k |
Isogeny class |
Conductor |
99176 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
57024 |
Modular degree for the optimal curve |
Δ |
384009472 = 28 · 72 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ -3 -2 7- 11- 4 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-196,-476] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:-22:1] |
Generators of the group modulo torsion |
j |
66382848/30613 |
j-invariant |
L |
3.3730682294974 |
L(r)(E,1)/r! |
Ω |
1.3334761700776 |
Real period |
R |
0.21079418355449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999489094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99176a1 |
Quadratic twists by: -7 |