Atkin-Lehner |
2- 3- 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60450cn |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
4669054101562500000 = 25 · 33 · 514 · 134 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3626213,-2656103583] |
[a1,a2,a3,a4,a6] |
Generators |
[-1082:1555:1] |
Generators of the group modulo torsion |
j |
337492110729985137289/298819462500000 |
j-invariant |
L |
12.285283544501 |
L(r)(E,1)/r! |
Ω |
0.10941057769224 |
Real period |
R |
1.8714344632843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090b3 |
Quadratic twists by: 5 |