Atkin-Lehner |
2+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440bo |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
54005432320 = 215 · 5 · 73 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 0 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-73132,-7612176] |
[a1,a2,a3,a4,a6] |
Generators |
[85575:4799539:27] |
Generators of the group modulo torsion |
j |
1320067469776392/1648115 |
j-invariant |
L |
5.9843792823264 |
L(r)(E,1)/r! |
Ω |
0.29031717189578 |
Real period |
R |
10.306623000337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999697 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69440br2 34720t2 |
Quadratic twists by: -4 8 |