Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
69384k |
Isogeny class |
Conductor |
69384 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-111970187686554624 = -1 · 210 · 38 · 710 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3152,16098480] |
[a1,a2,a3,a4,a6] |
Generators |
[268:5880:1] |
Generators of the group modulo torsion |
j |
-28756228/929424699 |
j-invariant |
L |
9.6014643392168 |
L(r)(E,1)/r! |
Ω |
0.26606400003909 |
Real period |
R |
2.2554404996174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000378 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9912b4 |
Quadratic twists by: -7 |