Atkin-Lehner |
3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41745q |
Isogeny class |
Conductor |
41745 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
988416 |
Modular degree for the optimal curve |
Δ |
-779981631451171875 = -1 · 34 · 59 · 118 · 23 |
Discriminant |
Eigenvalues |
2 3+ 5- 4 11- 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-537280,-157246497] |
[a1,a2,a3,a4,a6] |
j |
-80017515483136/3638671875 |
j-invariant |
L |
6.3313976598167 |
L(r)(E,1)/r! |
Ω |
0.087936078605653 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125235p1 41745r1 |
Quadratic twists by: -3 -11 |