Atkin-Lehner |
2+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
23360d |
Isogeny class |
Conductor |
23360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43520 |
Modular degree for the optimal curve |
Δ |
29900800000 = 217 · 55 · 73 |
Discriminant |
Eigenvalues |
2+ -3 5+ 3 -3 4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3148,-67472] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:16:1] |
Generators of the group modulo torsion |
j |
26321943762/228125 |
j-invariant |
L |
2.9378304075536 |
L(r)(E,1)/r! |
Ω |
0.63770226219691 |
Real period |
R |
1.1517249434841 |
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 |
23360q1 2920a1 116800u1 |
Quadratic twists by: -4 8 5 |