Atkin-Lehner |
2+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
110450g |
Isogeny class |
Conductor |
110450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10395648 |
Modular degree for the optimal curve |
Δ |
1.3989130913785E+23 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 3 -3 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15519375,-15170046875] |
[a1,a2,a3,a4,a6] |
Generators |
[-1706:80505:1] [-1289:52556:1] |
Generators of the group modulo torsion |
j |
23639903/8000 |
j-invariant |
L |
7.1283212740177 |
L(r)(E,1)/r! |
Ω |
0.078146469999148 |
Real period |
R |
11.402180538781 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999983557 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22090n1 110450h1 |
Quadratic twists by: 5 -47 |