Atkin-Lehner |
2- 3+ 5- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
122640bi |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-2820106800 = -1 · 24 · 33 · 52 · 72 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,55,2532] |
[a1,a2,a3,a4,a6] |
j |
1129201664/176256675 |
j-invariant |
L |
2.207228724234 |
L(r)(E,1)/r! |
Ω |
1.103615071931 |
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 |
30660w1 |
Quadratic twists by: -4 |