Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550bx |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
16800 |
Modular degree for the optimal curve |
Δ |
-131561718750 = -1 · 2 · 37 · 58 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2888,61031] |
[a1,a2,a3,a4,a6] |
Generators |
[-218:2881:8] |
Generators of the group modulo torsion |
j |
-6819690145/336798 |
j-invariant |
L |
5.8183290663739 |
L(r)(E,1)/r! |
Ω |
1.0285108291329 |
Real period |
R |
5.6570421055064 |
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 |
92400ij1 34650bt1 11550ba1 80850hd1 |
Quadratic twists by: -4 -3 5 -7 |