Atkin-Lehner |
2+ 3+ 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60450q |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-147041587009687500 = -1 · 22 · 312 · 57 · 134 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,18500,18431500] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:4240:1] |
Generators of the group modulo torsion |
j |
44810747703359/9410661568620 |
j-invariant |
L |
4.481406141364 |
L(r)(E,1)/r! |
Ω |
0.25175592129629 |
Real period |
R |
1.1125374226832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000395 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090bi4 |
Quadratic twists by: 5 |