Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46550bg |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
35304258981250000 = 24 · 58 · 77 · 193 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 3 -5 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-107825,-10242875] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:151:1] |
Generators of the group modulo torsion |
j |
3016755625/768208 |
j-invariant |
L |
3.1887896140918 |
L(r)(E,1)/r! |
Ω |
0.26840691490956 |
Real period |
R |
2.9701075465401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46550bz1 6650o1 |
Quadratic twists by: 5 -7 |