Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
110880l |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
22869000000 = 26 · 33 · 56 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3513,79812] |
[a1,a2,a3,a4,a6] |
Generators |
[37:22:1] |
Generators of the group modulo torsion |
j |
2774689708608/13234375 |
j-invariant |
L |
7.2782065668032 |
L(r)(E,1)/r! |
Ω |
1.2093424203988 |
Real period |
R |
1.5045793551676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014511 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110880ca1 110880co1 |
Quadratic twists by: -4 -3 |