Atkin-Lehner |
2- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
70720ba |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
470712320 = 215 · 5 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -4 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-612908,-184689008] |
[a1,a2,a3,a4,a6] |
Generators |
[218162:36011619:8] |
Generators of the group modulo torsion |
j |
777069113581745928/14365 |
j-invariant |
L |
3.9641308720713 |
L(r)(E,1)/r! |
Ω |
0.17062816968982 |
Real period |
R |
11.616284926757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001956 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70720z4 35360k4 |
Quadratic twists by: -4 8 |