Atkin-Lehner |
3- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
61005r |
Isogeny class |
Conductor |
61005 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-5.1515871826904E+19 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 1 4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,549029,307968511] |
[a1,a2,a3,a4,a6] |
j |
64793042714624/182373046875 |
j-invariant |
L |
2.2478141715043 |
L(r)(E,1)/r! |
Ω |
0.14048838575186 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61005f1 |
Quadratic twists by: -7 |