Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17298j |
Isogeny class |
Conductor |
17298 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-2233866539574 = -1 · 2 · 319 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 1 3 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1141011,-468833693] |
[a1,a2,a3,a4,a6] |
Generators |
[17954163585499866403:3704908012445671662436:419332001782049] |
Generators of the group modulo torsion |
j |
-234499814820813937/3188646 |
j-invariant |
L |
4.6783288310205 |
L(r)(E,1)/r! |
Ω |
0.07303769906545 |
Real period |
R |
32.026808695248 |
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 |
5766h2 17298f2 |
Quadratic twists by: -3 -31 |