Atkin-Lehner |
2+ 3- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
90816bi |
Isogeny class |
Conductor |
90816 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-512690466816 = -1 · 212 · 37 · 113 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 1 5 11- 6 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2585,-62073] |
[a1,a2,a3,a4,a6] |
Generators |
[121:1188:1] |
Generators of the group modulo torsion |
j |
-466566337216/125168571 |
j-invariant |
L |
11.758166753002 |
L(r)(E,1)/r! |
Ω |
0.330143691949 |
Real period |
R |
0.84798334297666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999892981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90816l1 45408c1 |
Quadratic twists by: -4 8 |