Atkin-Lehner |
2+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
41650d |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-21684031250000 = -1 · 24 · 59 · 74 · 172 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ -2 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4874,-181352] |
[a1,a2,a3,a4,a6] |
Generators |
[137:1681:1] [53:449:1] |
Generators of the group modulo torsion |
j |
341425679/578000 |
j-invariant |
L |
7.7125466408245 |
L(r)(E,1)/r! |
Ω |
0.35734658654443 |
Real period |
R |
0.44964205918671 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8330t1 41650j1 |
Quadratic twists by: 5 -7 |