Atkin-Lehner |
2+ 3+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
60450x |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
22838765625000 = 23 · 32 · 59 · 132 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-46950,-3928500] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:111:1] |
Generators of the group modulo torsion |
j |
5860233438389/11693448 |
j-invariant |
L |
2.2983164164727 |
L(r)(E,1)/r! |
Ω |
0.32437062086829 |
Real period |
R |
1.7713660460266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997129 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60450dc2 |
Quadratic twists by: 5 |