Atkin-Lehner |
2- 5+ 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
108100a |
Isogeny class |
Conductor |
108100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
340992 |
Modular degree for the optimal curve |
Δ |
263050540000000 = 28 · 57 · 234 · 47 |
Discriminant |
Eigenvalues |
2- -1 5+ 5 -3 -3 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16508,-234488] |
[a1,a2,a3,a4,a6] |
j |
124386546256/65762635 |
j-invariant |
L |
1.7881072232976 |
L(r)(E,1)/r! |
Ω |
0.44702695347011 |
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 |
21620d1 |
Quadratic twists by: 5 |