Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
19530bx |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-50453679937500 = -1 · 22 · 312 · 56 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1013,-341719] |
[a1,a2,a3,a4,a6] |
Generators |
[10806:391493:8] |
Generators of the group modulo torsion |
j |
-157551496201/69209437500 |
j-invariant |
L |
7.4544638057419 |
L(r)(E,1)/r! |
Ω |
0.28428528451401 |
Real period |
R |
6.5554429052541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510k1 97650ba1 |
Quadratic twists by: -3 5 |