Atkin-Lehner |
2+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
114950d |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
6322250000 = 24 · 56 · 113 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 11+ -6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-476,1098] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:67:1] [-18:71:1] [-12:77:1] |
Generators of the group modulo torsion |
j |
571787/304 |
j-invariant |
L |
8.1395806829185 |
L(r)(E,1)/r! |
Ω |
1.1731381639765 |
Real period |
R |
1.7345741817065 |
Regulator |
r |
3 |
Rank of the group of rational points |
S |
0.99999999996138 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4598l1 114950by1 |
Quadratic twists by: 5 -11 |