Atkin-Lehner |
2+ 3- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
119130u |
Isogeny class |
Conductor |
119130 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-50364053332623360 = -1 · 216 · 33 · 5 · 112 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,92047,-1013884] |
[a1,a2,a3,a4,a6] |
Generators |
[267:6394:1] |
Generators of the group modulo torsion |
j |
1833318007919/1070530560 |
j-invariant |
L |
6.7175574159011 |
L(r)(E,1)/r! |
Ω |
0.21009627650777 |
Real period |
R |
2.6644758427199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999629281 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
330c1 |
Quadratic twists by: -19 |