Atkin-Lehner |
2+ 5- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111910i |
Isogeny class |
Conductor |
111910 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6528481632960400 = 24 · 52 · 198 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52954,-2610972] |
[a1,a2,a3,a4,a6] |
Generators |
[-54705943:-200523766:1030301] |
Generators of the group modulo torsion |
j |
349062369921/138768400 |
j-invariant |
L |
5.9407675068412 |
L(r)(E,1)/r! |
Ω |
0.32568631662592 |
Real period |
R |
9.1203824272922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999813358 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5890h2 |
Quadratic twists by: -19 |