Atkin-Lehner |
2+ 3- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
100368u |
Isogeny class |
Conductor |
100368 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
8129808 = 24 · 36 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 0 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,209] |
[a1,a2,a3,a4,a6] |
Generators |
[8:11:1] |
Generators of the group modulo torsion |
j |
4000000/697 |
j-invariant |
L |
4.8864171742953 |
L(r)(E,1)/r! |
Ω |
2.2229378947794 |
Real period |
R |
2.1981797977983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004565 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50184j1 11152d1 |
Quadratic twists by: -4 -3 |