Atkin-Lehner |
2- 3- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
77520cm |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
630837567590400 = 212 · 310 · 52 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28296,1367604] |
[a1,a2,a3,a4,a6] |
Generators |
[270:-3672:1] [-138:1632:1] |
Generators of the group modulo torsion |
j |
611722215487369/154013078025 |
j-invariant |
L |
10.167941156461 |
L(r)(E,1)/r! |
Ω |
0.48089757722025 |
Real period |
R |
1.0571836538831 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998779 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4845b2 |
Quadratic twists by: -4 |