Atkin-Lehner |
3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5985j |
Isogeny class |
Conductor |
5985 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
26185479980625 = 38 · 54 · 72 · 194 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22860,1313091] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:1419:1] |
Generators of the group modulo torsion |
j |
1812322775712961/35919725625 |
j-invariant |
L |
4.621123987666 |
L(r)(E,1)/r! |
Ω |
0.66904458199489 |
Real period |
R |
3.4535247067446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
95760dj3 1995h3 29925r3 41895bt3 |
Quadratic twists by: -4 -3 5 -7 |