Atkin-Lehner |
2- 3+ 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
89670bt |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
4.7471208142056E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1020573520,12548727517745] |
[a1,a2,a3,a4,a6] |
Generators |
[19053:134533:1] |
Generators of the group modulo torsion |
j |
999236661311061196864365169/403498611480384000 |
j-invariant |
L |
8.2960677508374 |
L(r)(E,1)/r! |
Ω |
0.091953196667326 |
Real period |
R |
1.670750880636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977567 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12810s3 |
Quadratic twists by: -7 |