Atkin-Lehner |
2- 3+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48450bh |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
64423771200000000 = 212 · 38 · 58 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -2 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1462438,679994531] |
[a1,a2,a3,a4,a6] |
Generators |
[305:16047:1] |
Generators of the group modulo torsion |
j |
22137883334842578841/4123121356800 |
j-invariant |
L |
7.1765761017931 |
L(r)(E,1)/r! |
Ω |
0.33859164106332 |
Real period |
R |
0.88314053856075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690l1 |
Quadratic twists by: 5 |