Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
110880i |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
358400 |
Modular degree for the optimal curve |
Δ |
-1496743367454720 = -1 · 212 · 33 · 5 · 75 · 115 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8472,1837008] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:924:1] |
Generators of the group modulo torsion |
j |
608075970048/13533920785 |
j-invariant |
L |
7.1659542350808 |
L(r)(E,1)/r! |
Ω |
0.35753715137271 |
Real period |
R |
0.20042544484149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999636578 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110880bz1 110880cl1 |
Quadratic twists by: -4 -3 |