Atkin-Lehner |
2- 5- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
69520be |
Isogeny class |
Conductor |
69520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2474511564800 = 217 · 52 · 112 · 792 |
Discriminant |
Eigenvalues |
2- -2 5- -4 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8260240,9134951700] |
[a1,a2,a3,a4,a6] |
Generators |
[207770:-27808:125] [930:47520:1] |
Generators of the group modulo torsion |
j |
15217447577334554745361/604128800 |
j-invariant |
L |
7.0654459151184 |
L(r)(E,1)/r! |
Ω |
0.43735217495795 |
Real period |
R |
2.019381153122 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8690j2 |
Quadratic twists by: -4 |