Atkin-Lehner |
2- 3+ 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
128100o |
Isogeny class |
Conductor |
128100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
29883168000 = 28 · 37 · 53 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 5 1 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5013,-134703] |
[a1,a2,a3,a4,a6] |
j |
435465224192/933849 |
j-invariant |
L |
3.4046699301143 |
L(r)(E,1)/r! |
Ω |
0.56744512019966 |
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 |
128100bc1 |
Quadratic twists by: 5 |