Atkin-Lehner |
5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
99275b |
Isogeny class |
Conductor |
99275 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
53812401853203125 = 57 · 114 · 196 |
Discriminant |
Eigenvalues |
1 0 5+ 0 11+ 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-263417,50892116] |
[a1,a2,a3,a4,a6] |
Generators |
[-4178:56239:8] [100:5004:1] |
Generators of the group modulo torsion |
j |
2749884201/73205 |
j-invariant |
L |
12.908831638685 |
L(r)(E,1)/r! |
Ω |
0.35319785928481 |
Real period |
R |
4.5685553078584 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19855b4 275a3 |
Quadratic twists by: 5 -19 |