Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
40572w |
Isogeny class |
Conductor |
40572 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-1546534693872 = -1 · 24 · 36 · 78 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,735,-59339] |
[a1,a2,a3,a4,a6] |
Generators |
[149604:1216229:2197] |
Generators of the group modulo torsion |
j |
32000/1127 |
j-invariant |
L |
6.3131125540573 |
L(r)(E,1)/r! |
Ω |
0.40757034086934 |
Real period |
R |
7.7448134972127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4508a1 5796g1 |
Quadratic twists by: -3 -7 |