Atkin-Lehner |
2+ 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840r |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
86668185600 = 212 · 39 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 6 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38772,-2938464] |
[a1,a2,a3,a4,a6] |
j |
79951586112/1075 |
j-invariant |
L |
5.4436505144387 |
L(r)(E,1)/r! |
Ω |
0.34022823644654 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840bb1 61920bh1 123840c1 |
Quadratic twists by: -4 8 -3 |