Atkin-Lehner |
2+ 13+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
90896c |
Isogeny class |
Conductor |
90896 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
821760 |
Modular degree for the optimal curve |
Δ |
10427211190429696 = 211 · 132 · 195 · 233 |
Discriminant |
Eigenvalues |
2+ -3 -1 -2 3 13+ 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54643,-185006] |
[a1,a2,a3,a4,a6] |
Generators |
[-195:1748:1] |
Generators of the group modulo torsion |
j |
8810435263628178/5091411714077 |
j-invariant |
L |
3.5471883847358 |
L(r)(E,1)/r! |
Ω |
0.34132597145924 |
Real period |
R |
0.086603146702274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45448a1 |
Quadratic twists by: -4 |