Atkin-Lehner |
2+ 3+ 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
12120d |
Isogeny class |
Conductor |
12120 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
261792000 = 28 · 34 · 53 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4220,106932] |
[a1,a2,a3,a4,a6] |
Generators |
[29:90:1] |
Generators of the group modulo torsion |
j |
32473119372496/1022625 |
j-invariant |
L |
4.3163797594824 |
L(r)(E,1)/r! |
Ω |
1.628414046008 |
Real period |
R |
0.88355492676324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24240m1 96960v1 36360k1 60600bc1 |
Quadratic twists by: -4 8 -3 5 |