Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
110880n |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-42577920 = -1 · 212 · 33 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -4 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,72,208] |
[a1,a2,a3,a4,a6] |
Generators |
[8:36:1] |
Generators of the group modulo torsion |
j |
373248/385 |
j-invariant |
L |
5.9914536467739 |
L(r)(E,1)/r! |
Ω |
1.3421215985928 |
Real period |
R |
1.1160415079884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999926304 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110880e1 110880cq1 |
Quadratic twists by: -4 -3 |