Atkin-Lehner |
2- 3- 5+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
103350ce |
Isogeny class |
Conductor |
103350 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
626688 |
Modular degree for the optimal curve |
Δ |
-1726790919750000 = -1 · 24 · 33 · 56 · 136 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-72488,-7779408] |
[a1,a2,a3,a4,a6] |
Generators |
[442:6604:1] |
Generators of the group modulo torsion |
j |
-2695891520738233/110514618864 |
j-invariant |
L |
14.582479959326 |
L(r)(E,1)/r! |
Ω |
0.1451314328151 |
Real period |
R |
1.3955243191555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956637 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4134a1 |
Quadratic twists by: 5 |