Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47190co |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
1215 |
Product of Tamagawa factors cp |
deg |
777600 |
Modular degree for the optimal curve |
Δ |
-1181570348055651840 = -1 · 29 · 315 · 5 · 114 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11- 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,90929,-51214855] |
[a1,a2,a3,a4,a6] |
Generators |
[296:1139:1] |
Generators of the group modulo torsion |
j |
5678843727095231/80702844618240 |
j-invariant |
L |
10.035621070222 |
L(r)(E,1)/r! |
Ω |
0.13405800808983 |
Real period |
R |
0.55452065052066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
47190v1 |
Quadratic twists by: -11 |