Atkin-Lehner |
3- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11385m |
Isogeny class |
Conductor |
11385 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
760802625 = 37 · 53 · 112 · 23 |
Discriminant |
Eigenvalues |
1 3- 5- 4 11+ -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1584,-23837] |
[a1,a2,a3,a4,a6] |
Generators |
[122:1199:1] |
Generators of the group modulo torsion |
j |
603136942849/1043625 |
j-invariant |
L |
6.364674582998 |
L(r)(E,1)/r! |
Ω |
0.75682077819022 |
Real period |
R |
2.8032504596477 |
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 |
3795b1 56925r1 125235bk1 |
Quadratic twists by: -3 5 -11 |