Atkin-Lehner |
2- 3- 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
47472h |
Isogeny class |
Conductor |
47472 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
-22640726016 = -1 · 212 · 35 · 232 · 43 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 3 3 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42520,3360596] |
[a1,a2,a3,a4,a6] |
Generators |
[140:414:1] |
Generators of the group modulo torsion |
j |
-2075648192259481/5527521 |
j-invariant |
L |
8.0931558937688 |
L(r)(E,1)/r! |
Ω |
1.0447231926491 |
Real period |
R |
0.38733493956713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2967a1 |
Quadratic twists by: -4 |