Atkin-Lehner |
2- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
59150br |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-480593750 = -1 · 2 · 56 · 7 · 133 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 5 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-413,-3433] |
[a1,a2,a3,a4,a6] |
Generators |
[17588:282081:64] |
Generators of the group modulo torsion |
j |
-226981/14 |
j-invariant |
L |
11.690636518521 |
L(r)(E,1)/r! |
Ω |
0.52762900262425 |
Real period |
R |
5.5392313825069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999083 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2366h1 59150t1 |
Quadratic twists by: 5 13 |