Atkin-Lehner |
2+ 3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
69264i |
Isogeny class |
Conductor |
69264 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
452104164253617408 = 28 · 324 · 132 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -4 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-241095,32087734] |
[a1,a2,a3,a4,a6] |
Generators |
[1013:28764:1] |
Generators of the group modulo torsion |
j |
8304640362034000/2422540317717 |
j-invariant |
L |
5.7804196909124 |
L(r)(E,1)/r! |
Ω |
0.27573193514801 |
Real period |
R |
5.2409776976418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000621 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34632l2 23088h2 |
Quadratic twists by: -4 -3 |