Atkin-Lehner |
2+ 3+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
7326a |
Isogeny class |
Conductor |
7326 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
138540872448 = 28 · 33 · 114 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11+ -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3816,-88000] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:40:1] |
Generators of the group modulo torsion |
j |
227640254228379/5131143424 |
j-invariant |
L |
3.4898771035651 |
L(r)(E,1)/r! |
Ω |
0.60825830646376 |
Real period |
R |
1.4343729738169 |
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 |
58608y2 7326f2 80586u2 |
Quadratic twists by: -4 -3 -11 |