Atkin-Lehner |
2- 3- 7- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
34314z |
Isogeny class |
Conductor |
34314 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
11898448128 = 28 · 33 · 72 · 19 · 432 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-753,-6039] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:51:1] |
Generators of the group modulo torsion |
j |
47222033748625/11898448128 |
j-invariant |
L |
10.722950725066 |
L(r)(E,1)/r! |
Ω |
0.92825423351288 |
Real period |
R |
0.48132246254734 |
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 |
102942u1 |
Quadratic twists by: -3 |