Atkin-Lehner |
2+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
56840f |
Isogeny class |
Conductor |
56840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3166169888000 = 28 · 53 · 76 · 292 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 0 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33140,2309488] |
[a1,a2,a3,a4,a6] |
Generators |
[136:580:1] |
Generators of the group modulo torsion |
j |
133649126224/105125 |
j-invariant |
L |
4.7003990800847 |
L(r)(E,1)/r! |
Ω |
0.79155592388529 |
Real period |
R |
0.98969614532231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113680g2 1160a2 |
Quadratic twists by: -4 -7 |