Atkin-Lehner |
2- 3+ 5+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
120450bn |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-292582083750000000 = -1 · 27 · 3 · 510 · 114 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ 0 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-63813,-26780469] |
[a1,a2,a3,a4,a6] |
Generators |
[399:3188:1] |
Generators of the group modulo torsion |
j |
-1839211180826761/18725253360000 |
j-invariant |
L |
10.376935067111 |
L(r)(E,1)/r! |
Ω |
0.13056669142493 |
Real period |
R |
2.8384331201588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067332 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24090j2 |
Quadratic twists by: 5 |