Atkin-Lehner |
2+ 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
8240c |
Isogeny class |
Conductor |
8240 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
29120 |
Modular degree for the optimal curve |
Δ |
-8240000000 = -1 · 210 · 57 · 103 |
Discriminant |
Eigenvalues |
2+ 1 5- 0 6 2 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-254080,-49379900] |
[a1,a2,a3,a4,a6] |
j |
-1771482665596654084/8046875 |
j-invariant |
L |
2.9770410808314 |
L(r)(E,1)/r! |
Ω |
0.10632289574398 |
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 |
4120c1 32960m1 74160i1 41200i1 |
Quadratic twists by: -4 8 -3 5 |