Atkin-Lehner |
2- 3+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570bs |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
786432 |
Modular degree for the optimal curve |
Δ |
-1447541531100000000 = -1 · 28 · 34 · 58 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-37731,-57970431] |
[a1,a2,a3,a4,a6] |
j |
-50492995771681/12303900000000 |
j-invariant |
L |
3.8492229712247 |
L(r)(E,1)/r! |
Ω |
0.12028821784249 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510z1 |
Quadratic twists by: -7 |