Atkin-Lehner |
2- 3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
6060c |
Isogeny class |
Conductor |
6060 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
1320 |
Modular degree for the optimal curve |
Δ |
-15150000 = -1 · 24 · 3 · 55 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -1 6 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25,202] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-25:1] |
Generators of the group modulo torsion |
j |
-112377856/946875 |
j-invariant |
L |
3.5471436411211 |
L(r)(E,1)/r! |
Ω |
1.8957373917031 |
Real period |
R |
0.12474103416242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24240bk1 96960be1 18180a1 30300i1 |
Quadratic twists by: -4 8 -3 5 |