Atkin-Lehner |
2+ 5+ 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
101050c |
Isogeny class |
Conductor |
101050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-6315625000 = -1 · 23 · 58 · 43 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5+ -3 0 -2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7442,-245284] |
[a1,a2,a3,a4,a6] |
j |
-2917464019569/404200 |
j-invariant |
L |
0.514009027782 |
L(r)(E,1)/r! |
Ω |
0.25700454121521 |
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 |
20210d1 |
Quadratic twists by: 5 |