Atkin-Lehner |
2- 3- 5+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114390z |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
208 |
Product of Tamagawa factors cp |
deg |
2129920 |
Modular degree for the optimal curve |
Δ |
3903369708463718400 = 226 · 310 · 52 · 312 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-721283,215949827] |
[a1,a2,a3,a4,a6] |
Generators |
[-677:20178:1] |
Generators of the group modulo torsion |
j |
56926267396671001321/5354416609689600 |
j-invariant |
L |
9.9820149193458 |
L(r)(E,1)/r! |
Ω |
0.24124091261173 |
Real period |
R |
0.79572666087513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999746322 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38130q1 |
Quadratic twists by: -3 |