Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
1170d |
Isogeny class |
Conductor |
1170 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
168649848900 = 22 · 310 · 52 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5085,139441] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:548:1] |
Generators of the group modulo torsion |
j |
19948814692561/231344100 |
j-invariant |
L |
1.8662533162937 |
L(r)(E,1)/r! |
Ω |
1.0225295750634 |
Real period |
R |
0.45628345668584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9360bn3 37440cb3 390b3 5850bm4 |
Quadratic twists by: -4 8 -3 5 |