Atkin-Lehner |
2+ 3+ 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
51150a |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
3538944 |
Modular degree for the optimal curve |
Δ |
-8.531383563648E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2648500,-4121550000] |
[a1,a2,a3,a4,a6] |
j |
131493220370352740159/546008548073472000 |
j-invariant |
L |
1.0579285114265 |
L(r)(E,1)/r! |
Ω |
0.066120531967309 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230bd1 |
Quadratic twists by: 5 |