Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
11160a |
Isogeny class |
Conductor |
11160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-3321216000 = -1 · 210 · 33 · 53 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 2 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-123,2822] |
[a1,a2,a3,a4,a6] |
Generators |
[7:48:1] |
Generators of the group modulo torsion |
j |
-7443468/120125 |
j-invariant |
L |
3.6042175703057 |
L(r)(E,1)/r! |
Ω |
1.1932470247938 |
Real period |
R |
1.5102562568419 |
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 |
22320b1 89280t1 11160k1 55800bf1 |
Quadratic twists by: -4 8 -3 5 |