Atkin-Lehner |
5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53465c |
Isogeny class |
Conductor |
53465 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
8833576041474325 = 52 · 178 · 373 |
Discriminant |
Eigenvalues |
0 -1 5+ 1 3 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-613109261,-5843051825733] |
[a1,a2,a3,a4,a6] |
Generators |
[-17548981449251697695008972:-252526496991614946459:1227590563548780958528] |
Generators of the group modulo torsion |
j |
1055951115028631268622336/365967925 |
j-invariant |
L |
3.8699210860333 |
L(r)(E,1)/r! |
Ω |
0.030339965707103 |
Real period |
R |
31.887981708623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3145b2 |
Quadratic twists by: 17 |