Atkin-Lehner |
2+ 3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570bi |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
118800 |
Modular degree for the optimal curve |
Δ |
-17506171200000 = -1 · 29 · 3 · 55 · 76 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 2 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9973,432128] |
[a1,a2,a3,a4,a6] |
j |
-932288503609/148800000 |
j-invariant |
L |
3.3357197158826 |
L(r)(E,1)/r! |
Ω |
0.66714394313925 |
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 |
930b1 |
Quadratic twists by: -7 |