Atkin-Lehner |
2+ 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640p |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
14881112400 = 24 · 3 · 52 · 7 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21215,-1182300] |
[a1,a2,a3,a4,a6] |
j |
37256083456/525 |
j-invariant |
L |
3.1646625454895 |
L(r)(E,1)/r! |
Ω |
0.39558285173133 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
840f1 |
Quadratic twists by: -11 |