Atkin-Lehner |
2+ 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
7326c |
Isogeny class |
Conductor |
7326 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
146903703293952 = 212 · 39 · 113 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11+ -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13842,-226476] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:566:1] |
Generators of the group modulo torsion |
j |
402355893390625/201513996288 |
j-invariant |
L |
2.5414983798744 |
L(r)(E,1)/r! |
Ω |
0.46371425238847 |
Real period |
R |
2.7403712165237 |
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 |
58608bo1 2442i1 80586bg1 |
Quadratic twists by: -4 -3 -11 |