Atkin-Lehner |
2- 3- 5- 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38190bk |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
378 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-165439080000000 = -1 · 29 · 32 · 57 · 193 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 -3 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-61820,5943312] |
[a1,a2,a3,a4,a6] |
Generators |
[154:208:1] |
Generators of the group modulo torsion |
j |
-26128299968421266881/165439080000000 |
j-invariant |
L |
10.25661304044 |
L(r)(E,1)/r! |
Ω |
0.57681261782923 |
Real period |
R |
0.047041094618377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114570o1 |
Quadratic twists by: -3 |