Atkin-Lehner |
2- 3- 7+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
59598v |
Isogeny class |
Conductor |
59598 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-104868709397298 = -1 · 2 · 314 · 72 · 112 · 432 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2480,495605] |
[a1,a2,a3,a4,a6] |
Generators |
[318:5255:8] |
Generators of the group modulo torsion |
j |
-2313060765625/143852824962 |
j-invariant |
L |
8.985589546318 |
L(r)(E,1)/r! |
Ω |
0.49254499207398 |
Real period |
R |
2.280398159253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000133 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19866g2 |
Quadratic twists by: -3 |