Atkin-Lehner |
2- 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54910bg |
Isogeny class |
Conductor |
54910 |
Conductor |
∏ cp |
63 |
Product of Tamagawa factors cp |
deg |
127008 |
Modular degree for the optimal curve |
Δ |
1439432704000 = 221 · 53 · 172 · 19 |
Discriminant |
Eigenvalues |
2- -1 5- -5 -3 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6840,207097] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-99:1] [-59:669:1] |
Generators of the group modulo torsion |
j |
122461096254049/4980736000 |
j-invariant |
L |
10.808159888313 |
L(r)(E,1)/r! |
Ω |
0.8442216573236 |
Real period |
R |
0.20321451360211 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999946 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54910ba1 |
Quadratic twists by: 17 |