Atkin-Lehner |
2- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
680a |
Isogeny class |
Conductor |
680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4276275200 = 211 · 52 · 174 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1163,-14938] |
[a1,a2,a3,a4,a6] |
Generators |
[46:170:1] |
Generators of the group modulo torsion |
j |
84944038338/2088025 |
j-invariant |
L |
2.0532909813083 |
L(r)(E,1)/r! |
Ω |
0.81875763088423 |
Real period |
R |
1.2539064699103 |
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 |
1360a3 5440h3 6120k3 3400a3 |
Quadratic twists by: -4 8 -3 5 |