Atkin-Lehner |
2- 3- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
76650dn |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-1862595000 = -1 · 23 · 36 · 54 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-238,2492] |
[a1,a2,a3,a4,a6] |
j |
-2386099825/2980152 |
j-invariant |
L |
8.0420928885753 |
L(r)(E,1)/r! |
Ω |
1.3403488145546 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
76650c1 |
Quadratic twists by: 5 |