Atkin-Lehner |
2+ 3+ 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60450ba |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1065565449000000000 = 29 · 38 · 59 · 132 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -4 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-256325,-5437875] |
[a1,a2,a3,a4,a6] |
Generators |
[-401:5951:1] |
Generators of the group modulo torsion |
j |
953606535007589/545569509888 |
j-invariant |
L |
4.3890189419324 |
L(r)(E,1)/r! |
Ω |
0.22995435876804 |
Real period |
R |
4.7716196434581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000079 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60450cu2 |
Quadratic twists by: 5 |