Atkin-Lehner |
2+ 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
4800be |
Isogeny class |
Conductor |
4800 |
Conductor |
∏ cp |
15 |
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] |
Generators |
[58:225:1] |
Generators of the group modulo torsion |
j |
-425920000/243 |
j-invariant |
L |
4.7257525435886 |
L(r)(E,1)/r! |
Ω |
1.3276436172672 |
Real period |
R |
0.23730025548654 |
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 |
4800n1 2400f1 14400cj1 4800f1 |
Quadratic twists by: -4 8 -3 5 |