Atkin-Lehner |
2- 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200dj |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
317952 |
Modular degree for the optimal curve |
Δ |
-25674455502028800 = -1 · 235 · 36 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 4 3 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,68552,-3398572] |
[a1,a2,a3,a4,a6] |
j |
347918730255455/250727104512 |
j-invariant |
L |
5.0845722865924 |
L(r)(E,1)/r! |
Ω |
0.21185717862089 |
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 |
6150d1 49200co1 |
Quadratic twists by: -4 5 |