Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
39200bp |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2582630848000000 = 212 · 56 · 79 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 -4 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34300,0] |
[a1,a2,a3,a4,a6] |
Generators |
[450:8700:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
5.3203388619589 |
L(r)(E,1)/r! |
Ω |
0.38534407515871 |
Real period |
R |
3.4516807218114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39200bp2 78400gr1 1568b2 39200bo2 |
Quadratic twists by: -4 8 5 -7 |