Atkin-Lehner |
2- 3- 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60450cn |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
Δ |
1183961610000000000 = 210 · 36 · 510 · 132 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-278213,-21227583] |
[a1,a2,a3,a4,a6] |
Generators |
[-338:6019:1] |
Generators of the group modulo torsion |
j |
152417923851548809/75773543040000 |
j-invariant |
L |
12.285283544501 |
L(r)(E,1)/r! |
Ω |
0.21882115538448 |
Real period |
R |
0.93571723164217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12090b2 |
Quadratic twists by: 5 |