Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190cu |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
266112 |
Modular degree for the optimal curve |
Δ |
-4521086030947200 = -1 · 27 · 3 · 52 · 118 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 13+ -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6350,3229700] |
[a1,a2,a3,a4,a6] |
Generators |
[10:1810:1] |
Generators of the group modulo torsion |
j |
132098879/21091200 |
j-invariant |
L |
12.209804788375 |
L(r)(E,1)/r! |
Ω |
0.33561151846318 |
Real period |
R |
0.8662087616945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47190bi1 |
Quadratic twists by: -11 |