Atkin-Lehner |
2- 3- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
100368bz |
Isogeny class |
Conductor |
100368 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
8129808 = 24 · 36 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 3 -4 -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-129,547] |
[a1,a2,a3,a4,a6] |
Generators |
[18:131:8] |
Generators of the group modulo torsion |
j |
20353792/697 |
j-invariant |
L |
8.3237224079245 |
L(r)(E,1)/r! |
Ω |
2.3171815862177 |
Real period |
R |
3.5921752839994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999824293 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25092h1 11152m1 |
Quadratic twists by: -4 -3 |