Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
107800s |
Isogeny class |
Conductor |
107800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-3884034673750000 = -1 · 24 · 57 · 710 · 11 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11- 1 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20008,-3196887] |
[a1,a2,a3,a4,a6] |
Generators |
[248:2675:1] |
Generators of the group modulo torsion |
j |
-12544/55 |
j-invariant |
L |
5.1294194698672 |
L(r)(E,1)/r! |
Ω |
0.182357684827 |
Real period |
R |
3.5160428480965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000315 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21560v1 107800d1 |
Quadratic twists by: 5 -7 |