Atkin-Lehner |
3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41745bf |
Isogeny class |
Conductor |
41745 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
665584325505 = 33 · 5 · 118 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 11- -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-947130,-354861693] |
[a1,a2,a3,a4,a6] |
Generators |
[41463:8419836:1] |
Generators of the group modulo torsion |
j |
53039132070930361/375705 |
j-invariant |
L |
4.5514552670545 |
L(r)(E,1)/r! |
Ω |
0.15303725042081 |
Real period |
R |
9.9136109117966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125235k1 3795j1 |
Quadratic twists by: -3 -11 |