Atkin-Lehner |
2- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
80408l |
Isogeny class |
Conductor |
80408 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
71424 |
Modular degree for the optimal curve |
Δ |
170912671744 = 211 · 193 · 233 |
Discriminant |
Eigenvalues |
2- -1 1 -2 -3 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12320,-521876] |
[a1,a2,a3,a4,a6] |
Generators |
[-3996:437:64] |
Generators of the group modulo torsion |
j |
8299991086/6859 |
j-invariant |
L |
3.9381281917436 |
L(r)(E,1)/r! |
Ω |
0.453174521796 |
Real period |
R |
4.3450458953101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000421 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80408p1 |
Quadratic twists by: -23 |