Atkin-Lehner |
2- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
23360y |
Isogeny class |
Conductor |
23360 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-119603200000 = -1 · 219 · 55 · 73 |
Discriminant |
Eigenvalues |
2- -2 5- -4 0 4 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1215,3775] |
[a1,a2,a3,a4,a6] |
Generators |
[15:160:1] |
Generators of the group modulo torsion |
j |
756058031/456250 |
j-invariant |
L |
3.3250752296238 |
L(r)(E,1)/r! |
Ω |
0.64317605624073 |
Real period |
R |
0.25848872928031 |
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 |
23360h1 5840b1 116800cm1 |
Quadratic twists by: -4 8 5 |