Atkin-Lehner |
2+ 3- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
80142i |
Isogeny class |
Conductor |
80142 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
9525097250784 = 25 · 32 · 197 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 5 2 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-27805,-1780648] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:122:1] |
Generators of the group modulo torsion |
j |
50529889873/202464 |
j-invariant |
L |
5.0280553055158 |
L(r)(E,1)/r! |
Ω |
0.36980721071302 |
Real period |
R |
3.3991057765191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4218f1 |
Quadratic twists by: -19 |