Atkin-Lehner |
2+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
80408j |
Isogeny class |
Conductor |
80408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-19666271781872 = -1 · 24 · 192 · 237 |
Discriminant |
Eigenvalues |
2+ -3 0 2 6 -3 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2645,206839] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-529:1] |
Generators of the group modulo torsion |
j |
864000/8303 |
j-invariant |
L |
4.5508088662834 |
L(r)(E,1)/r! |
Ω |
0.5028722072352 |
Real period |
R |
1.131204111957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999942352 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3496c1 |
Quadratic twists by: -23 |