Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
123420ba |
Isogeny class |
Conductor |
123420 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-221379134352750000 = -1 · 24 · 35 · 56 · 118 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,111159,17614584] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:3993:1] |
Generators of the group modulo torsion |
j |
5358924087296/7810171875 |
j-invariant |
L |
7.2375136450125 |
L(r)(E,1)/r! |
Ω |
0.21345863920735 |
Real period |
R |
1.130197656518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11220j1 |
Quadratic twists by: -11 |