Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550bp |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
1386000000000 = 210 · 32 · 59 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4213,-90469] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:142:1] |
Generators of the group modulo torsion |
j |
529278808969/88704000 |
j-invariant |
L |
5.9813577113034 |
L(r)(E,1)/r! |
Ω |
0.59933985528558 |
Real period |
R |
0.49899549133549 |
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 |
92400gk1 34650bf1 2310e1 80850fq1 |
Quadratic twists by: -4 -3 5 -7 |