Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050dc |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
57881250000 = 24 · 33 · 58 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44855,3667647] |
[a1,a2,a3,a4,a6] |
Generators |
[129:60:1] |
Generators of the group modulo torsion |
j |
68971442301/400 |
j-invariant |
L |
7.7556838301037 |
L(r)(E,1)/r! |
Ω |
0.99022055067736 |
Real period |
R |
0.48951745048101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22050e2 4410e2 22050dd2 |
Quadratic twists by: -3 5 -7 |