Atkin-Lehner |
2- 3+ 5- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
38130u |
Isogeny class |
Conductor |
38130 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-468541440000 = -1 · 216 · 32 · 54 · 31 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1895,44957] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:226:1] [-33:286:1] |
Generators of the group modulo torsion |
j |
-752602538173681/468541440000 |
j-invariant |
L |
10.409434040042 |
L(r)(E,1)/r! |
Ω |
0.86536830587742 |
Real period |
R |
1.5036132548047 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114390g1 |
Quadratic twists by: -3 |