Atkin-Lehner |
2+ 3- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13398q |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
494538373804882176 = 28 · 318 · 72 · 112 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8083170,8844726196] |
[a1,a2,a3,a4,a6] |
Generators |
[1442:12981:1] |
Generators of the group modulo torsion |
j |
58407520889549872972115353/494538373804882176 |
j-invariant |
L |
4.8480986042484 |
L(r)(E,1)/r! |
Ω |
0.26487174979701 |
Real period |
R |
1.0168649980738 |
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 |
107184bm2 40194cb2 93786f2 |
Quadratic twists by: -4 -3 -7 |