Atkin-Lehner |
2+ 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
91840m |
Isogeny class |
Conductor |
91840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
210658918400 = 222 · 52 · 72 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -6 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2252,-34704] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:80:1] [-19:35:1] |
Generators of the group modulo torsion |
j |
4818245769/803600 |
j-invariant |
L |
10.823454795863 |
L(r)(E,1)/r! |
Ω |
0.70089411589078 |
Real period |
R |
3.8605884079249 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999908 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91840bo1 2870a1 |
Quadratic twists by: -4 8 |