Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240kk |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
6.0911599611449E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38362625,90668737023] |
[a1,a2,a3,a4,a6] |
Generators |
[-7094:76545:1] |
Generators of the group modulo torsion |
j |
23818189767728437646209/232359312482640000 |
j-invariant |
L |
9.3454316650544 |
L(r)(E,1)/r! |
Ω |
0.11138884481317 |
Real period |
R |
2.0974792518294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031909 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240cn3 28560cl3 |
Quadratic twists by: -4 8 |