Atkin-Lehner |
2+ 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
53802o |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-16215976602 = -1 · 2 · 36 · 72 · 613 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,558,-3578] |
[a1,a2,a3,a4,a6] |
Generators |
[633:15611:1] |
Generators of the group modulo torsion |
j |
537359375/453962 |
j-invariant |
L |
4.4215340857271 |
L(r)(E,1)/r! |
Ω |
0.68364135269662 |
Real period |
R |
6.4676223406956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5978j2 53802m2 |
Quadratic twists by: -3 -7 |