Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
110880m |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
23284800 = 26 · 33 · 52 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13473,601928] |
[a1,a2,a3,a4,a6] |
Generators |
[68:-14:1] |
Generators of the group modulo torsion |
j |
156521104308288/13475 |
j-invariant |
L |
6.2317564931941 |
L(r)(E,1)/r! |
Ω |
1.6345002147602 |
Real period |
R |
0.9531593224658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038689 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110880d1 110880cp1 |
Quadratic twists by: -4 -3 |