Atkin-Lehner |
2- 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
34592c |
Isogeny class |
Conductor |
34592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-57463123456 = -1 · 29 · 23 · 474 |
Discriminant |
Eigenvalues |
2- 0 -2 4 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-491,12270] |
[a1,a2,a3,a4,a6] |
Generators |
[325079423:33957896962:29791] |
Generators of the group modulo torsion |
j |
-25568086536/112232663 |
j-invariant |
L |
6.1019968463452 |
L(r)(E,1)/r! |
Ω |
0.96965246512806 |
Real period |
R |
12.585946131822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34592d2 69184d3 |
Quadratic twists by: -4 8 |