Atkin-Lehner |
2+ 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
57120l |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
20727705600 = 212 · 35 · 52 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21985,-1247375] |
[a1,a2,a3,a4,a6] |
Generators |
[545:12180:1] |
Generators of the group modulo torsion |
j |
286921391242816/5060475 |
j-invariant |
L |
5.4191853275505 |
L(r)(E,1)/r! |
Ω |
0.39207283285317 |
Real period |
R |
3.4554710715909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57120bb2 114240ih1 |
Quadratic twists by: -4 8 |