Atkin-Lehner |
2- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
115640z |
Isogeny class |
Conductor |
115640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-462560000 = -1 · 28 · 54 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 0 -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,180,-400] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-50:1] |
Generators of the group modulo torsion |
j |
51131696/36875 |
j-invariant |
L |
7.6111154341998 |
L(r)(E,1)/r! |
Ω |
0.93618558856542 |
Real period |
R |
0.50812009605933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000072447 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115640j1 |
Quadratic twists by: -7 |