Atkin-Lehner |
2- 3+ 5+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
105450bu |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
69293304000000 = 29 · 32 · 56 · 19 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -3 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-370538,-86968969] |
[a1,a2,a3,a4,a6] |
Generators |
[-351:187:1] |
Generators of the group modulo torsion |
j |
360082502774219737/4434771456 |
j-invariant |
L |
6.4710746693449 |
L(r)(E,1)/r! |
Ω |
0.19350477274083 |
Real period |
R |
1.8578567484422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011255 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4218e2 |
Quadratic twists by: 5 |