Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680ds |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-307234650683473920 = -1 · 217 · 37 · 5 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-152652,-35187824] |
[a1,a2,a3,a4,a6] |
Generators |
[1920:82156:1] |
Generators of the group modulo torsion |
j |
-4117122162722/3215383215 |
j-invariant |
L |
6.5312033938269 |
L(r)(E,1)/r! |
Ω |
0.11683746512621 |
Real period |
R |
6.9874883313022 |
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 |
31680be5 7920c6 10560ca6 |
Quadratic twists by: -4 8 -3 |