Atkin-Lehner |
2- 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
14880l |
Isogeny class |
Conductor |
14880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
13838400 = 26 · 32 · 52 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-310,2200] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:60:1] [-5:60:1] |
Generators of the group modulo torsion |
j |
51645087424/216225 |
j-invariant |
L |
5.6670052258825 |
L(r)(E,1)/r! |
Ω |
2.2418618544256 |
Real period |
R |
2.527811967849 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14880p1 29760cs2 44640r1 74400bg1 |
Quadratic twists by: -4 8 -3 5 |