Atkin-Lehner |
3- 7+ 23- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
38157g |
Isogeny class |
Conductor |
38157 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
283536 |
Modular degree for the optimal curve |
Δ |
-7663448142102123 = -1 · 33 · 711 · 23 · 792 |
Discriminant |
Eigenvalues |
-2 3- 0 7+ 3 4 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,49212,-271924] |
[a1,a2,a3,a4,a6] |
Generators |
[51:1540:1] |
Generators of the group modulo torsion |
j |
13180380050525696000/7663448142102123 |
j-invariant |
L |
3.832430483595 |
L(r)(E,1)/r! |
Ω |
0.24663518619204 |
Real period |
R |
2.5898105772932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114471g1 |
Quadratic twists by: -3 |