Atkin-Lehner |
2- 3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
70224ct |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
4732360977206016 = 28 · 36 · 72 · 11 · 196 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58772,-4392360] |
[a1,a2,a3,a4,a6] |
Generators |
[343:3990:1] |
Generators of the group modulo torsion |
j |
87700596256752208/18485785067211 |
j-invariant |
L |
10.224431638789 |
L(r)(E,1)/r! |
Ω |
0.3111905246745 |
Real period |
R |
1.8253254353056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000321 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17556b2 |
Quadratic twists by: -4 |