Atkin-Lehner |
2+ 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
90816bo |
Isogeny class |
Conductor |
90816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
278986752 = 216 · 32 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 11- -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5665,162239] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:192:1] [25:192:1] |
Generators of the group modulo torsion |
j |
306845800996/4257 |
j-invariant |
L |
8.9027892296942 |
L(r)(E,1)/r! |
Ω |
1.5846414308046 |
Real period |
R |
2.8090863511119 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000376 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90816bu1 11352h1 |
Quadratic twists by: -4 8 |