Atkin-Lehner |
2+ 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70070l |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1031488636928750 = 2 · 54 · 79 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11- 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2287689,1331622086] |
[a1,a2,a3,a4,a6] |
Generators |
[788:3893:1] |
Generators of the group modulo torsion |
j |
32811949233964207/25561250 |
j-invariant |
L |
1.6604233224672 |
L(r)(E,1)/r! |
Ω |
0.40976101415845 |
Real period |
R |
1.0130437410803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972268 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70070z2 |
Quadratic twists by: -7 |