Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
40572s |
Isogeny class |
Conductor |
40572 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-31561932528 = -1 · 24 · 36 · 76 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 5 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-441,9261] |
[a1,a2,a3,a4,a6] |
j |
-6912/23 |
j-invariant |
L |
2.0543415208535 |
L(r)(E,1)/r! |
Ω |
1.0271707604113 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4508d1 828c1 |
Quadratic twists by: -3 -7 |