Atkin-Lehner |
11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26741f |
Isogeny class |
Conductor |
26741 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
145366771840433 = 116 · 136 · 17 |
Discriminant |
Eigenvalues |
1 0 4 2 11- 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-88655,-10121512] |
[a1,a2,a3,a4,a6] |
Generators |
[-34351924:369822:205379] |
Generators of the group modulo torsion |
j |
43499078731809/82055753 |
j-invariant |
L |
8.591934646136 |
L(r)(E,1)/r! |
Ω |
0.27670864644632 |
Real period |
R |
10.350158016961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
221a1 |
Quadratic twists by: -11 |