Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
100672ck |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
16213326272 = 26 · 117 · 13 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23111,1352296] |
[a1,a2,a3,a4,a6] |
Generators |
[2882:50457:8] |
Generators of the group modulo torsion |
j |
12040481088/143 |
j-invariant |
L |
2.6774479112188 |
L(r)(E,1)/r! |
Ω |
1.1245970193794 |
Real period |
R |
4.7616130105617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043552 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100672cj1 50336w4 9152bd1 |
Quadratic twists by: -4 8 -11 |