Atkin-Lehner |
2+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4600d |
Isogeny class |
Conductor |
4600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
588800 = 210 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5+ 1 -5 1 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-88,288] |
[a1,a2,a3,a4,a6] |
Generators |
[4:4:1] |
Generators of the group modulo torsion |
j |
2977540/23 |
j-invariant |
L |
2.5326935760832 |
L(r)(E,1)/r! |
Ω |
2.9173949361124 |
Real period |
R |
0.43406765822699 |
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 |
9200i1 36800l1 41400bv1 4600o1 |
Quadratic twists by: -4 8 -3 5 |