Atkin-Lehner |
2+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
105800q |
Isogeny class |
Conductor |
105800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1510080 |
Modular degree for the optimal curve |
Δ |
-118428711200000000 = -1 · 211 · 58 · 236 |
Discriminant |
Eigenvalues |
2+ -3 5- -2 -1 4 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,66125,15208750] |
[a1,a2,a3,a4,a6] |
Generators |
[-1150:13225:8] |
Generators of the group modulo torsion |
j |
270 |
j-invariant |
L |
2.9055377617161 |
L(r)(E,1)/r! |
Ω |
0.23585011966723 |
Real period |
R |
2.053237421864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040629 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105800z1 200a1 |
Quadratic twists by: 5 -23 |