Atkin-Lehner |
2- 3+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
90816bx |
Isogeny class |
Conductor |
90816 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-31337675145216 = -1 · 214 · 37 · 11 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 1 -3 11- 4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,175,-269391] |
[a1,a2,a3,a4,a6] |
Generators |
[249067:2401264:2197] |
Generators of the group modulo torsion |
j |
35969456/1912699899 |
j-invariant |
L |
5.7662882122737 |
L(r)(E,1)/r! |
Ω |
0.30351273494672 |
Real period |
R |
9.4992524989088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000845 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90816be1 22704k1 |
Quadratic twists by: -4 8 |