Atkin-Lehner |
2+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
11360a |
Isogeny class |
Conductor |
11360 |
Conductor |
∏ cp |
4 |
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 |
[42:250:1] |
Generators of the group modulo torsion |
j |
11512557512/1109375 |
j-invariant |
L |
4.3950713961781 |
L(r)(E,1)/r! |
Ω |
1.5919010460496 |
Real period |
R |
0.69022371193937 |
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 |
11360k1 22720m1 102240bz1 56800l1 |
Quadratic twists by: -4 8 -3 5 |