Atkin-Lehner |
3+ 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
94809c |
Isogeny class |
Conductor |
94809 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
389376 |
Modular degree for the optimal curve |
Δ |
-850724753200179 = -1 · 3 · 112 · 1310 · 17 |
Discriminant |
Eigenvalues |
0 3+ 3 4 11+ 13+ 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,19041,966578] |
[a1,a2,a3,a4,a6] |
Generators |
[111286:3684045:2744] |
Generators of the group modulo torsion |
j |
5537792/6171 |
j-invariant |
L |
6.9957793350073 |
L(r)(E,1)/r! |
Ω |
0.33280151540748 |
Real period |
R |
10.510437908915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010923 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94809i1 |
Quadratic twists by: 13 |