Atkin-Lehner |
2- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
55594g |
Isogeny class |
Conductor |
55594 |
Conductor |
∏ cp |
17 |
Product of Tamagawa factors cp |
deg |
53856 |
Modular degree for the optimal curve |
Δ |
-3643408384 = -1 · 217 · 7 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 2 2 7+ 11+ 4 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1252,-17819] |
[a1,a2,a3,a4,a6] |
Generators |
[157:1841:1] |
Generators of the group modulo torsion |
j |
-601244583193/10092544 |
j-invariant |
L |
15.303950615463 |
L(r)(E,1)/r! |
Ω |
0.40089795295394 |
Real period |
R |
2.2455399996678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55594a1 |
Quadratic twists by: -19 |