Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304hz |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-66834684713631744 = -1 · 219 · 35 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -1 13- 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-340321,-77534689] |
[a1,a2,a3,a4,a6] |
Generators |
[695:4704:1] |
Generators of the group modulo torsion |
j |
-141339344329/2167074 |
j-invariant |
L |
7.3574995508661 |
L(r)(E,1)/r! |
Ω |
0.098741918343762 |
Real period |
R |
1.8628105547495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005897 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304br1 30576bm1 17472cb1 |
Quadratic twists by: -4 8 -7 |