Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050cp |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-7883045601194531250 = -1 · 2 · 36 · 58 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 -2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-501867,-192162209] |
[a1,a2,a3,a4,a6] |
j |
-417267265/235298 |
j-invariant |
L |
1.5732501521514 |
L(r)(E,1)/r! |
Ω |
0.087402786230632 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2450bf2 22050ei2 3150u2 |
Quadratic twists by: -3 5 -7 |