Atkin-Lehner |
2- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
8240i |
Isogeny class |
Conductor |
8240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
92201681715200 = 215 · 52 · 1034 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20603,1040298] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:1456:1] |
Generators of the group modulo torsion |
j |
236132166498129/22510176200 |
j-invariant |
L |
3.9025657332808 |
L(r)(E,1)/r! |
Ω |
0.58593270725765 |
Real period |
R |
3.3302166656186 |
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 |
1030c3 32960w3 74160bs3 41200y3 |
Quadratic twists by: -4 8 -3 5 |