Atkin-Lehner |
2- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
57596g |
Isogeny class |
Conductor |
57596 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-20759597834542336 = -1 · 28 · 7 · 119 · 173 |
Discriminant |
Eigenvalues |
2- -2 -3 7+ 11- 1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30532,7219716] |
[a1,a2,a3,a4,a6] |
Generators |
[172:2662:1] [260:4114:1] |
Generators of the group modulo torsion |
j |
-6940769488/45774421 |
j-invariant |
L |
5.6467152027368 |
L(r)(E,1)/r! |
Ω |
0.33030089059724 |
Real period |
R |
0.47487973705505 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5236c2 |
Quadratic twists by: -11 |