Atkin-Lehner |
2- 3+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
80142o |
Isogeny class |
Conductor |
80142 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
208637730181172736 = 29 · 32 · 197 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 3 2 -3 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5350569,4761460119] |
[a1,a2,a3,a4,a6] |
Generators |
[1347:48:1] |
Generators of the group modulo torsion |
j |
360082502774219737/4434771456 |
j-invariant |
L |
11.714115023918 |
L(r)(E,1)/r! |
Ω |
0.28773070176373 |
Real period |
R |
0.5654455398311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000866 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4218e2 |
Quadratic twists by: -19 |