Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
6030s |
Isogeny class |
Conductor |
6030 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
474753960000 = 26 · 311 · 54 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2453,33581] |
[a1,a2,a3,a4,a6] |
Generators |
[3:160:1] |
Generators of the group modulo torsion |
j |
2238323410441/651240000 |
j-invariant |
L |
5.4328149016992 |
L(r)(E,1)/r! |
Ω |
0.86853307347609 |
Real period |
R |
0.52126348318509 |
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 |
48240br1 2010e1 30150z1 |
Quadratic twists by: -4 -3 5 |