Atkin-Lehner |
2+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
2482b |
Isogeny class |
Conductor |
2482 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-12320648 = -1 · 23 · 172 · 732 |
Discriminant |
Eigenvalues |
2+ 0 -2 -4 -4 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,17,-171] |
[a1,a2,a3,a4,a6] |
Generators |
[5:2:1] [9:21:1] |
Generators of the group modulo torsion |
j |
525557943/12320648 |
j-invariant |
L |
2.4780213416901 |
L(r)(E,1)/r! |
Ω |
1.0917296280176 |
Real period |
R |
2.2698123034271 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19856e2 79424d2 22338p2 62050z2 |
Quadratic twists by: -4 8 -3 5 |