Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
13200bv |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
21346578000 = 24 · 36 · 53 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1013,10572] |
[a1,a2,a3,a4,a6] |
Generators |
[8:54:1] |
Generators of the group modulo torsion |
j |
57537462272/10673289 |
j-invariant |
L |
3.8431652480752 |
L(r)(E,1)/r! |
Ω |
1.15045042359 |
Real period |
R |
1.6702872063286 |
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 |
3300q1 52800hq1 39600ew1 13200cn1 |
Quadratic twists by: -4 8 -3 5 |