Atkin-Lehner |
3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41745be |
Isogeny class |
Conductor |
41745 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
487872 |
Modular degree for the optimal curve |
Δ |
-280793387322421875 = -1 · 36 · 57 · 118 · 23 |
Discriminant |
Eigenvalues |
1 3- 5- -3 11- 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,162742,-3367069] |
[a1,a2,a3,a4,a6] |
Generators |
[615:-18458:1] |
Generators of the group modulo torsion |
j |
2223745148999/1309921875 |
j-invariant |
L |
7.9307172974989 |
L(r)(E,1)/r! |
Ω |
0.1811565228883 |
Real period |
R |
0.34744650521115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125235m1 41745bg1 |
Quadratic twists by: -3 -11 |