Atkin-Lehner |
2- 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840eg |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
127653299984793600 = 242 · 33 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1310892,-577439024] |
[a1,a2,a3,a4,a6] |
j |
35198225176082067/18035507200 |
j-invariant |
L |
5.0795307331788 |
L(r)(E,1)/r! |
Ω |
0.14109810551407 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840u1 30960s1 123840dv3 |
Quadratic twists by: -4 8 -3 |