Atkin-Lehner |
3- 5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
41325n |
Isogeny class |
Conductor |
41325 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
38784 |
Modular degree for the optimal curve |
Δ |
-12755167875 = -1 · 33 · 53 · 194 · 29 |
Discriminant |
Eigenvalues |
2 3- 5- 2 3 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2068,-37301] |
[a1,a2,a3,a4,a6] |
j |
-7828441174016/102041343 |
j-invariant |
L |
8.4886530308622 |
L(r)(E,1)/r! |
Ω |
0.3536938762895 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123975br1 41325i1 |
Quadratic twists by: -3 5 |