Atkin-Lehner |
2- 3+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
4800bx |
Isogeny class |
Conductor |
4800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-4428675000000 = -1 · 26 · 311 · 58 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -4 7 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1083,102537] |
[a1,a2,a3,a4,a6] |
Generators |
[56:463:1] |
Generators of the group modulo torsion |
j |
-5624320/177147 |
j-invariant |
L |
2.9241821621079 |
L(r)(E,1)/r! |
Ω |
0.64746415675275 |
Real period |
R |
4.5163614566305 |
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 |
4800co1 2400p1 14400fd1 4800cf1 |
Quadratic twists by: -4 8 -3 5 |