Atkin-Lehner |
2- 3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
49350ce |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-339591168000000 = -1 · 220 · 32 · 56 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-59513,-5662983] |
[a1,a2,a3,a4,a6] |
j |
-1491899855559625/21733834752 |
j-invariant |
L |
6.1080192764653 |
L(r)(E,1)/r! |
Ω |
0.15270048192331 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1974a1 |
Quadratic twists by: 5 |