Atkin-Lehner |
2- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
52598bj |
Isogeny class |
Conductor |
52598 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-21026914042287244 = -1 · 22 · 73 · 133 · 178 |
Discriminant |
Eigenvalues |
2- -2 3 7- -6 13- 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-90174,-12549488] |
[a1,a2,a3,a4,a6] |
Generators |
[504:8120:1] |
Generators of the group modulo torsion |
j |
-11624563297/3014284 |
j-invariant |
L |
7.7670867472525 |
L(r)(E,1)/r! |
Ω |
0.13590599539049 |
Real period |
R |
3.17502416322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52598w2 |
Quadratic twists by: 17 |