Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520bz |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
158912668800000 = 210 · 310 · 55 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 4 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3037152,2037266696] |
[a1,a2,a3,a4,a6] |
Generators |
[977:1595:1] |
Generators of the group modulo torsion |
j |
4150455958484156416/212878125 |
j-invariant |
L |
8.3316285835077 |
L(r)(E,1)/r! |
Ω |
0.43125349900704 |
Real period |
R |
1.9319561696366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003201 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520fv1 5220k1 27840m1 |
Quadratic twists by: -4 8 -3 |