Atkin-Lehner |
2- 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
123420j |
Isogeny class |
Conductor |
123420 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
553419406856250000 = 24 · 316 · 58 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 3 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-221646,-18149679] |
[a1,a2,a3,a4,a6] |
j |
622013789615958784/285857131640625 |
j-invariant |
L |
2.7586206818345 |
L(r)(E,1)/r! |
Ω |
0.22988505566953 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123420d1 |
Quadratic twists by: -11 |