Atkin-Lehner |
2+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
105350y |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1555200 |
Modular degree for the optimal curve |
Δ |
-178203034419200 = -1 · 215 · 52 · 76 · 432 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- -1 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-595702,-176819084] |
[a1,a2,a3,a4,a6] |
Generators |
[7415:631161:1] |
Generators of the group modulo torsion |
j |
-7948461006944145/60588032 |
j-invariant |
L |
2.4139963743343 |
L(r)(E,1)/r! |
Ω |
0.085923520266868 |
Real period |
R |
7.0236774775138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999916565 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105350dm1 2150e1 |
Quadratic twists by: 5 -7 |