Atkin-Lehner |
2+ 13- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8398c |
Isogeny class |
Conductor |
8398 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
15667711904 = 25 · 13 · 172 · 194 |
Discriminant |
Eigenvalues |
2+ -2 -2 -2 0 13- 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2347,-43530] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:24:1] [-26:21:1] |
Generators of the group modulo torsion |
j |
1428883941140137/15667711904 |
j-invariant |
L |
2.8478477619307 |
L(r)(E,1)/r! |
Ω |
0.68640616817987 |
Real period |
R |
4.1489250737403 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67184t2 75582bp2 109174k2 |
Quadratic twists by: -4 -3 13 |