Atkin-Lehner |
3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
28899o |
Isogeny class |
Conductor |
28899 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
349440 |
Modular degree for the optimal curve |
Δ |
-52166034261908307 = -1 · 311 · 138 · 192 |
Discriminant |
Eigenvalues |
2 3- 2 3 0 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,72501,-8018501] |
[a1,a2,a3,a4,a6] |
Generators |
[637448:22966241:512] |
Generators of the group modulo torsion |
j |
70873088/87723 |
j-invariant |
L |
13.585132974264 |
L(r)(E,1)/r! |
Ω |
0.19025644458698 |
Real period |
R |
8.9255406063615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9633e1 28899f1 |
Quadratic twists by: -3 13 |