Atkin-Lehner |
2+ 3+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
4800n |
Isogeny class |
Conductor |
4800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-6075000000 = -1 · 26 · 35 · 58 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 0 -5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4583,-117963] |
[a1,a2,a3,a4,a6] |
j |
-425920000/243 |
j-invariant |
L |
0.8703232621295 |
L(r)(E,1)/r! |
Ω |
0.29010775404317 |
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 |
4800be1 2400bg1 14400cl1 4800u1 |
Quadratic twists by: -4 8 -3 5 |