Atkin-Lehner |
2+ 3- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
11130n |
Isogeny class |
Conductor |
11130 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
4832378880 = 214 · 3 · 5 · 7 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2264,41126] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-9:1] |
Generators of the group modulo torsion |
j |
1282558550483449/4832378880 |
j-invariant |
L |
3.6862802912691 |
L(r)(E,1)/r! |
Ω |
1.3757924222518 |
Real period |
R |
2.6793869712086 |
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 |
89040bf1 33390ca1 55650cf1 77910q1 |
Quadratic twists by: -4 -3 5 -7 |