Atkin-Lehner |
2+ 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122176c |
Isogeny class |
Conductor |
122176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-2877489152 = -1 · 216 · 232 · 83 |
Discriminant |
Eigenvalues |
2+ -1 0 3 -3 0 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,2593] |
[a1,a2,a3,a4,a6] |
Generators |
[19:92:1] |
Generators of the group modulo torsion |
j |
-62500/43907 |
j-invariant |
L |
5.2165714717816 |
L(r)(E,1)/r! |
Ω |
1.1564039247431 |
Real period |
R |
1.1277572101215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030699 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122176bt1 15272g1 |
Quadratic twists by: -4 8 |