Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4998g |
Isogeny class |
Conductor |
4998 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-144554337107208 = -1 · 23 · 312 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10560,-717912] |
[a1,a2,a3,a4,a6] |
Generators |
[5333:386761:1] |
Generators of the group modulo torsion |
j |
-1107111813625/1228691592 |
j-invariant |
L |
2.3611795511583 |
L(r)(E,1)/r! |
Ω |
0.22567069432359 |
Real period |
R |
5.2314713663542 |
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 |
39984dk2 14994ce2 124950hi2 102c2 |
Quadratic twists by: -4 -3 5 -7 |