Atkin-Lehner |
2- 3- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
30438r |
Isogeny class |
Conductor |
30438 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-256330816704 = -1 · 26 · 38 · 193 · 89 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 -5 -3 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,247,-24375] |
[a1,a2,a3,a4,a6] |
Generators |
[65:-546:1] [29:66:1] |
Generators of the group modulo torsion |
j |
2294744759/351619776 |
j-invariant |
L |
10.614299441159 |
L(r)(E,1)/r! |
Ω |
0.46471444456357 |
Real period |
R |
0.31722884299439 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10146d1 |
Quadratic twists by: -3 |