Atkin-Lehner |
2+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
115192j |
Isogeny class |
Conductor |
115192 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-681483244288 = -1 · 28 · 76 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ -2 -4 7- 11+ -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-260,39664] |
[a1,a2,a3,a4,a6] |
Generators |
[12:196:1] |
Generators of the group modulo torsion |
j |
-5726576/2000033 |
j-invariant |
L |
3.1579643199687 |
L(r)(E,1)/r! |
Ω |
0.73665086927115 |
Real period |
R |
0.71448688198221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000007536 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115192r2 |
Quadratic twists by: -11 |