Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304ik |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
6345523993536 = 26 · 33 · 710 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23732,1394070] |
[a1,a2,a3,a4,a6] |
Generators |
[193:2010:1] |
Generators of the group modulo torsion |
j |
196325547328/842751 |
j-invariant |
L |
10.032539693995 |
L(r)(E,1)/r! |
Ω |
0.75657837922062 |
Real period |
R |
4.4201367333423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304gd1 61152e3 17472cg1 |
Quadratic twists by: -4 8 -7 |