Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
57120bb |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
80 |
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 |
[83:36:1] |
Generators of the group modulo torsion |
j |
286921391242816/5060475 |
j-invariant |
L |
8.4453712628479 |
L(r)(E,1)/r! |
Ω |
1.1140483915527 |
Real period |
R |
0.37903969553035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57120l2 114240fx1 |
Quadratic twists by: -4 8 |