Atkin-Lehner |
2- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
11360k |
Isogeny class |
Conductor |
11360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
568000000 = 29 · 56 · 71 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 -2 -1 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-376,-2440] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:125:8] |
Generators of the group modulo torsion |
j |
11512557512/1109375 |
j-invariant |
L |
3.4221482735128 |
L(r)(E,1)/r! |
Ω |
1.090652249512 |
Real period |
R |
1.5688539931239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11360a1 22720u1 102240r1 56800c1 |
Quadratic twists by: -4 8 -3 5 |