Atkin-Lehner |
2- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
8240g |
Isogeny class |
Conductor |
8240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-1054720000000 = -1 · 217 · 57 · 103 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 3 -5 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1283,52482] |
[a1,a2,a3,a4,a6] |
j |
-57022169049/257500000 |
j-invariant |
L |
1.520557045435 |
L(r)(E,1)/r! |
Ω |
0.76027852271748 |
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 |
1030b1 32960s1 74160bn1 41200be1 |
Quadratic twists by: -4 8 -3 5 |