Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240fy |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-20026397491200 = -1 · 216 · 312 · 52 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 -2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4308,-185776] |
[a1,a2,a3,a4,a6] |
Generators |
[418:8640:1] |
Generators of the group modulo torsion |
j |
185073116/419175 |
j-invariant |
L |
7.0544154308783 |
L(r)(E,1)/r! |
Ω |
0.35463949203736 |
Real period |
R |
2.4864741481106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000111 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240cm1 16560o1 22080bu1 |
Quadratic twists by: -4 8 -3 |