Atkin-Lehner |
2+ 3- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
44850ba |
Isogeny class |
Conductor |
44850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
214935552000000000 = 220 · 33 · 59 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6841151,-6887720302] |
[a1,a2,a3,a4,a6] |
j |
2266162893640266805729/13755875328000 |
j-invariant |
L |
2.2404160130019 |
L(r)(E,1)/r! |
Ω |
0.093350667210462 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8970h1 |
Quadratic twists by: 5 |