Atkin-Lehner |
2+ 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840i |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
1354190400000000 = 212 · 39 · 58 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -2 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46548,3436128] |
[a1,a2,a3,a4,a6] |
j |
138348848448/16796875 |
j-invariant |
L |
1.8600110965263 |
L(r)(E,1)/r! |
Ω |
0.46500298777872 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840d1 61920bl1 123840w1 |
Quadratic twists by: -4 8 -3 |