Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672du |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
11414181695488 = 212 · 118 · 13 |
Discriminant |
Eigenvalues |
2- -1 0 -2 11- 13- -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8873,-274679] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:121:1] [-37:40:1] |
Generators of the group modulo torsion |
j |
88000/13 |
j-invariant |
L |
8.8564988433607 |
L(r)(E,1)/r! |
Ω |
0.49676182122544 |
Real period |
R |
2.9714101958218 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000514 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672dm1 50336r1 100672cu1 |
Quadratic twists by: -4 8 -11 |