Atkin-Lehner |
2+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
1246f |
Isogeny class |
Conductor |
1246 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
17444 = 22 · 72 · 89 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 0 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-91,-375] |
[a1,a2,a3,a4,a6] |
Generators |
[12:15:1] |
Generators of the group modulo torsion |
j |
84778086457/17444 |
j-invariant |
L |
2.4195241296866 |
L(r)(E,1)/r! |
Ω |
1.5435650109137 |
Real period |
R |
1.5674909139424 |
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 |
9968j1 39872w1 11214q1 31150r1 |
Quadratic twists by: -4 8 -3 5 |