Atkin-Lehner |
2+ 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840c |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
118886400 = 212 · 33 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -6 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4308,108832] |
[a1,a2,a3,a4,a6] |
Generators |
[26:120:1] |
Generators of the group modulo torsion |
j |
79951586112/1075 |
j-invariant |
L |
5.3924626954016 |
L(r)(E,1)/r! |
Ω |
1.6998851179946 |
Real period |
R |
0.79306280227032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000138237 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840m1 61920i1 123840r1 |
Quadratic twists by: -4 8 -3 |