Atkin-Lehner |
2+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
3560c |
Isogeny class |
Conductor |
3560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
396050000 = 24 · 55 · 892 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 4 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1071,13820] |
[a1,a2,a3,a4,a6] |
Generators |
[11:57:1] |
Generators of the group modulo torsion |
j |
8499190872064/24753125 |
j-invariant |
L |
4.3725392084545 |
L(r)(E,1)/r! |
Ω |
1.6929048797199 |
Real period |
R |
2.5828617194239 |
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 |
7120e1 28480q1 32040l1 17800j1 |
Quadratic twists by: -4 8 -3 5 |