Atkin-Lehner |
2- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
8240i |
Isogeny class |
Conductor |
8240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1318400000000 = 215 · 58 · 103 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-70523,-7208278] |
[a1,a2,a3,a4,a6] |
Generators |
[-1650461813:124329282:10793861] |
Generators of the group modulo torsion |
j |
9470133471933009/321875000 |
j-invariant |
L |
3.9025657332808 |
L(r)(E,1)/r! |
Ω |
0.29296635362882 |
Real period |
R |
13.320866662474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1030c4 32960w4 74160bs4 41200y4 |
Quadratic twists by: -4 8 -3 5 |