Atkin-Lehner |
2+ 3- 7+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
74214d |
Isogeny class |
Conductor |
74214 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7.6232330932533E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -6 4 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-206616852,1143183783888] |
[a1,a2,a3,a4,a6] |
Generators |
[8328:300:1] |
Generators of the group modulo torsion |
j |
1338114898465300146964578625/1045710986728843008 |
j-invariant |
L |
3.1146472504632 |
L(r)(E,1)/r! |
Ω |
0.13289944965113 |
Real period |
R |
1.4647574060126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001154 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24738l2 |
Quadratic twists by: -3 |