Atkin-Lehner |
2+ 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
23360i |
Isogeny class |
Conductor |
23360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
783831531520000 = 234 · 54 · 73 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 -2 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55372,-4830864] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:345:1] |
Generators of the group modulo torsion |
j |
71623315478889/2990080000 |
j-invariant |
L |
4.5636083656945 |
L(r)(E,1)/r! |
Ω |
0.31202887507091 |
Real period |
R |
3.6563990789774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23360z1 730a1 116800a1 |
Quadratic twists by: -4 8 5 |