Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672ef |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1305600 |
Modular degree for the optimal curve |
Δ |
-237091231567151104 = -1 · 215 · 117 · 135 |
Discriminant |
Eigenvalues |
2- -2 -1 -5 11- 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,154719,-316769] |
[a1,a2,a3,a4,a6] |
Generators |
[447:12584:1] [18:1573:1] |
Generators of the group modulo torsion |
j |
7055792632/4084223 |
j-invariant |
L |
5.9031112411377 |
L(r)(E,1)/r! |
Ω |
0.18657883216458 |
Real period |
R |
0.39548371946131 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672ee1 50336f1 9152r1 |
Quadratic twists by: -4 8 -11 |