Atkin-Lehner |
2- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
13904f |
Isogeny class |
Conductor |
13904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
19870906713112576 = 234 · 114 · 79 |
Discriminant |
Eigenvalues |
2- -3 3 -1 11+ 1 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-357571,82018498] |
[a1,a2,a3,a4,a6] |
Generators |
[327:242:1] |
Generators of the group modulo torsion |
j |
1234384987853171097/4851295584256 |
j-invariant |
L |
3.3016296149147 |
L(r)(E,1)/r! |
Ω |
0.38675729193611 |
Real period |
R |
2.1341741214411 |
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 |
1738c1 55616bf1 125136x1 |
Quadratic twists by: -4 8 -3 |