Atkin-Lehner |
2- 7- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
100912t |
Isogeny class |
Conductor |
100912 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
9584218112 = 212 · 72 · 17 · 532 |
Discriminant |
Eigenvalues |
2- -2 -4 7- -4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-560,-2156] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:28:1] [-20:38:1] [-14:56:1] |
Generators of the group modulo torsion |
j |
4750104241/2339897 |
j-invariant |
L |
9.254630498845 |
L(r)(E,1)/r! |
Ω |
1.0318895479182 |
Real period |
R |
2.2421562747144 |
Regulator |
r |
3 |
Rank of the group of rational points |
S |
1.0000000000148 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6307a1 |
Quadratic twists by: -4 |