Atkin-Lehner |
2- 3+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
41574k |
Isogeny class |
Conductor |
41574 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129792 |
Modular degree for the optimal curve |
Δ |
-90922338 = -1 · 2 · 38 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 0 5 0 13+ -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-43898,-3558391] |
[a1,a2,a3,a4,a6] |
j |
-55356908515533625/538002 |
j-invariant |
L |
5.2772576973107 |
L(r)(E,1)/r! |
Ω |
0.16491430303789 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124722q1 41574a1 |
Quadratic twists by: -3 13 |