Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840ff |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7950361559040 = 217 · 38 · 5 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 -2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9228,-313072] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:124:1] [-62:144:1] |
Generators of the group modulo torsion |
j |
909513218/83205 |
j-invariant |
L |
12.277255892545 |
L(r)(E,1)/r! |
Ω |
0.48995698625823 |
Real period |
R |
3.1322279909103 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991399 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840bn2 30960i2 41280cm2 |
Quadratic twists by: -4 8 -3 |