Atkin-Lehner |
2+ 3+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
4800i |
Isogeny class |
Conductor |
4800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-1080000 = -1 · 26 · 33 · 54 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 4 3 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,17,37] |
[a1,a2,a3,a4,a6] |
j |
12800/27 |
j-invariant |
L |
1.9114752504469 |
L(r)(E,1)/r! |
Ω |
1.9114752504469 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4800bb1 2400n1 14400bw1 4800t1 |
Quadratic twists by: -4 8 -3 5 |