Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190da |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-11146089240 = -1 · 23 · 311 · 5 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11- 13+ -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6080,182040] |
[a1,a2,a3,a4,a6] |
Generators |
[22:232:1] |
Generators of the group modulo torsion |
j |
-205425117472201/92116440 |
j-invariant |
L |
13.227906250643 |
L(r)(E,1)/r! |
Ω |
1.2578124805527 |
Real period |
R |
0.31868474049688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47190bl1 |
Quadratic twists by: -11 |