Atkin-Lehner |
2- 3- 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050bw |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-84849375000000 = -1 · 26 · 3 · 510 · 13 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-98313,-11881383] |
[a1,a2,a3,a4,a6] |
Generators |
[1461774:339389113:27] |
Generators of the group modulo torsion |
j |
-6725689416955081/5430360000 |
j-invariant |
L |
14.301868357561 |
L(r)(E,1)/r! |
Ω |
0.13480182455792 |
Real period |
R |
8.8412924937233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029584 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23010e1 |
Quadratic twists by: 5 |