Atkin-Lehner |
2- 3- 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
62040y |
Isogeny class |
Conductor |
62040 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
138194100000000 = 28 · 35 · 58 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- 0 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58620,5413968] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-2250:1] |
Generators of the group modulo torsion |
j |
87021907308838096/539820703125 |
j-invariant |
L |
7.0337646116702 |
L(r)(E,1)/r! |
Ω |
0.58551350573788 |
Real period |
R |
0.15016230502131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124080i2 |
Quadratic twists by: -4 |