Atkin-Lehner |
2- 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
7326k |
Isogeny class |
Conductor |
7326 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-6897283574511726 = -1 · 2 · 314 · 117 · 37 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 11+ -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13469,4044147] |
[a1,a2,a3,a4,a6] |
j |
-370656835366537/9461294340894 |
j-invariant |
L |
0.70422011403564 |
L(r)(E,1)/r! |
Ω |
0.35211005701782 |
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 |
58608bs1 2442d1 80586s1 |
Quadratic twists by: -4 -3 -11 |