Atkin-Lehner |
2- 3+ 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
78384s |
Isogeny class |
Conductor |
78384 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
2.0785538439498E+23 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 4 2 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-102384728,-398112271440] |
[a1,a2,a3,a4,a6] |
Generators |
[705801296578:-386362639517462:2352637] |
Generators of the group modulo torsion |
j |
28978060244806543423281625/50745943455805119987 |
j-invariant |
L |
6.7370018583084 |
L(r)(E,1)/r! |
Ω |
0.047466416050876 |
Real period |
R |
14.193196830927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994373 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4899b2 |
Quadratic twists by: -4 |