Atkin-Lehner |
2+ 3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55650bl |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-33271528106250000 = -1 · 24 · 315 · 58 · 7 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,67799,5559548] |
[a1,a2,a3,a4,a6] |
j |
88235377964375/85175111952 |
j-invariant |
L |
2.4219568988107 |
L(r)(E,1)/r! |
Ω |
0.24219568978194 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
55650by1 |
Quadratic twists by: 5 |