Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800lv |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.4884949843091E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1717920300,-28028001598000] |
[a1,a2,a3,a4,a6] |
Generators |
[6058388957411268741876963397977752897364729829489515689744:-509116572947122137459462038759412214816720409699018831488596:118208840753743711255772987536197290006327638433071799] |
Generators of the group modulo torsion |
j |
-187778242790732059201/4984939585440150 |
j-invariant |
L |
7.7848725643785 |
L(r)(E,1)/r! |
Ω |
0.011706805251601 |
Real period |
R |
83.123367345847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999997094 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800fr7 25200dz7 33600eq7 20160ff8 |
Quadratic twists by: -4 8 -3 5 |