Atkin-Lehner |
2- 3+ 5- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
91650cu |
Isogeny class |
Conductor |
91650 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
153216 |
Modular degree for the optimal curve |
Δ |
-669118320000 = -1 · 27 · 34 · 54 · 133 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 2 13- -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,262,39431] |
[a1,a2,a3,a4,a6] |
Generators |
[255:3967:1] [-210:1091:8] |
Generators of the group modulo torsion |
j |
3181588175/1070589312 |
j-invariant |
L |
13.932056447902 |
L(r)(E,1)/r! |
Ω |
0.70452733620298 |
Real period |
R |
0.15694476408383 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999697 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91650be1 |
Quadratic twists by: 5 |