Atkin-Lehner |
2- 3- 5+ 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
34770ba |
Isogeny class |
Conductor |
34770 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
83683331287560000 = 26 · 36 · 54 · 196 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -6 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-117276,6716880] |
[a1,a2,a3,a4,a6] |
Generators |
[-312:3756:1] |
Generators of the group modulo torsion |
j |
178382143409853325249/83683331287560000 |
j-invariant |
L |
7.7801917991145 |
L(r)(E,1)/r! |
Ω |
0.30503171116254 |
Real period |
R |
2.125514472321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
104310bh2 |
Quadratic twists by: -3 |