Atkin-Lehner |
2- 3+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570ce |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-20774901603750 = -1 · 2 · 3 · 54 · 78 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3970,237845] |
[a1,a2,a3,a4,a6] |
j |
-58818484369/176583750 |
j-invariant |
L |
4.7990688751625 |
L(r)(E,1)/r! |
Ω |
0.59988360941936 |
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 |
6510w2 |
Quadratic twists by: -7 |