Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1530j |
Isogeny class |
Conductor |
1530 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
71718750000 = 24 · 33 · 510 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -2 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4157,103381] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:404:1] |
Generators of the group modulo torsion |
j |
294172502025843/2656250000 |
j-invariant |
L |
3.7600878799796 |
L(r)(E,1)/r! |
Ω |
1.09909748806 |
Real period |
R |
0.17105342887356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12240bi2 48960i2 1530a2 7650e2 |
Quadratic twists by: -4 8 -3 5 |