Atkin-Lehner |
2- 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
24240t |
Isogeny class |
Conductor |
24240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
74465280 = 214 · 32 · 5 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-136,496] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:16:1] |
Generators of the group modulo torsion |
j |
68417929/18180 |
j-invariant |
L |
4.3943262683864 |
L(r)(E,1)/r! |
Ω |
1.8118033901395 |
Real period |
R |
1.2126940186507 |
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 |
3030g1 96960do1 72720bv1 121200de1 |
Quadratic twists by: -4 8 -3 5 |