Atkin-Lehner |
2- 3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
47190cs |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
369600 |
Modular degree for the optimal curve |
Δ |
-1191801080939040 = -1 · 25 · 35 · 5 · 119 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11+ 13- -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-259850,-51032508] |
[a1,a2,a3,a4,a6] |
Generators |
[1462:51178:1] |
Generators of the group modulo torsion |
j |
-822920371811/505440 |
j-invariant |
L |
12.902445386926 |
L(r)(E,1)/r! |
Ω |
0.10572382606829 |
Real period |
R |
2.440782908969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47190be1 |
Quadratic twists by: -11 |