Atkin-Lehner |
3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525x |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-293899628896216875 = -1 · 33 · 54 · 76 · 236 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- -6 -5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-307883,70841693] |
[a1,a2,a3,a4,a6] |
Generators |
[1057:30417:1] |
Generators of the group modulo torsion |
j |
-43894892953600/3996969003 |
j-invariant |
L |
2.2281244359159 |
L(r)(E,1)/r! |
Ω |
0.30062843353078 |
Real period |
R |
1.2352593187318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999638626 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84525ci2 1725q2 |
Quadratic twists by: 5 -7 |