Atkin-Lehner |
2+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7280b |
Isogeny class |
Conductor |
7280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-132496000000 = -1 · 210 · 56 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -6 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,504,-16796] |
[a1,a2,a3,a4,a6] |
Generators |
[32:182:1] |
Generators of the group modulo torsion |
j |
13799183324/129390625 |
j-invariant |
L |
2.054976025643 |
L(r)(E,1)/r! |
Ω |
0.51368236429144 |
Real period |
R |
1.0001200004587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3640d2 29120ch2 65520bf2 36400q2 |
Quadratic twists by: -4 8 -3 5 |