Atkin-Lehner |
3- 5+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
44505k |
Isogeny class |
Conductor |
44505 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
455680 |
Modular degree for the optimal curve |
Δ |
100739070225 = 311 · 52 · 232 · 43 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 6 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1036395,406362096] |
[a1,a2,a3,a4,a6] |
j |
168877716053242227121/138188025 |
j-invariant |
L |
2.6511616214445 |
L(r)(E,1)/r! |
Ω |
0.66279040533399 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14835g1 |
Quadratic twists by: -3 |