Atkin-Lehner |
2- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48412r |
Isogeny class |
Conductor |
48412 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
151200 |
Modular degree for the optimal curve |
Δ |
-13279404047728 = -1 · 24 · 76 · 135 · 19 |
Discriminant |
Eigenvalues |
2- -2 -4 7- 0 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5570,73569] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-637:1] |
Generators of the group modulo torsion |
j |
10150866176/7054567 |
j-invariant |
L |
2.7958606824367 |
L(r)(E,1)/r! |
Ω |
0.44754970414033 |
Real period |
R |
0.20823465018362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
988a1 |
Quadratic twists by: -7 |