Atkin-Lehner |
2+ 3- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
12078h |
Isogeny class |
Conductor |
12078 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
978318 = 2 · 36 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11+ -1 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-132,-550] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:35:8] |
Generators of the group modulo torsion |
j |
350402625/1342 |
j-invariant |
L |
3.721794700985 |
L(r)(E,1)/r! |
Ω |
1.4083221113825 |
Real period |
R |
2.6427155200535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96624br1 1342d1 |
Quadratic twists by: -4 -3 |