Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
1386f |
Isogeny class |
Conductor |
1386 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
931392 = 26 · 33 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26,25] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:7:1] |
Generators of the group modulo torsion |
j |
69426531/34496 |
j-invariant |
L |
3.442487585463 |
L(r)(E,1)/r! |
Ω |
2.4760198242164 |
Real period |
R |
0.23172186478437 |
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 |
11088bb1 44352a1 1386a1 34650g1 |
Quadratic twists by: -4 8 -3 5 |