Atkin-Lehner |
2- 5+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
62320u |
Isogeny class |
Conductor |
62320 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1996800 |
Modular degree for the optimal curve |
Δ |
-2.131109078528E+20 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 4 1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6732056,-6761934700] |
[a1,a2,a3,a4,a6] |
Generators |
[253412:127561250:1] |
Generators of the group modulo torsion |
j |
-8237719285623370694809/52029030237500000 |
j-invariant |
L |
8.1029981408388 |
L(r)(E,1)/r! |
Ω |
0.046845588455356 |
Real period |
R |
4.3243122820594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000157 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7790a1 |
Quadratic twists by: -4 |