Atkin-Lehner |
2+ 5- 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
101050h |
Isogeny class |
Conductor |
101050 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
378000 |
Modular degree for the optimal curve |
Δ |
-91430686720000 = -1 · 215 · 54 · 43 · 473 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 2 2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3992,-469184] |
[a1,a2,a3,a4,a6] |
Generators |
[489:10448:1] |
Generators of the group modulo torsion |
j |
-11258395115625/146289098752 |
j-invariant |
L |
6.1521850815918 |
L(r)(E,1)/r! |
Ω |
0.25741787286135 |
Real period |
R |
2.655511500216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999770677 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101050p1 |
Quadratic twists by: 5 |