Atkin-Lehner |
2- 3+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
7068c |
Isogeny class |
Conductor |
7068 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
99640684659456 = 28 · 310 · 193 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 0 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39092,2949000] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:2430:1] |
Generators of the group modulo torsion |
j |
25808248194126928/389221424451 |
j-invariant |
L |
3.4647066425308 |
L(r)(E,1)/r! |
Ω |
0.59986507002399 |
Real period |
R |
1.9252699846829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28272i2 113088q2 21204d2 |
Quadratic twists by: -4 8 -3 |