Atkin-Lehner |
2- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70070bd |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
9.6000569624141E+22 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-45320428,-116471371313] |
[a1,a2,a3,a4,a6] |
Generators |
[872241617811:-908721336351409:804357] |
Generators of the group modulo torsion |
j |
87501897507774086005761/815991377947460000 |
j-invariant |
L |
7.9223510261771 |
L(r)(E,1)/r! |
Ω |
0.058219772035436 |
Real period |
R |
13.607664112401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000744 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1430h3 |
Quadratic twists by: -7 |