Atkin-Lehner |
2+ 3- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
90846bi |
Isogeny class |
Conductor |
90846 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
320564942881344 = 26 · 310 · 77 · 103 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 2 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17208,117760] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:1016:1] |
Generators of the group modulo torsion |
j |
6570725617/3737664 |
j-invariant |
L |
3.5778598400248 |
L(r)(E,1)/r! |
Ω |
0.46634818729674 |
Real period |
R |
1.9180195950424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999850027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30282w1 12978n1 |
Quadratic twists by: -3 -7 |