Atkin-Lehner |
2- 3- 5- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
80910u |
Isogeny class |
Conductor |
80910 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
247749571444500 = 22 · 36 · 53 · 294 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19112,683511] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:1131:1] |
Generators of the group modulo torsion |
j |
1058993490188089/339848520500 |
j-invariant |
L |
11.895075830746 |
L(r)(E,1)/r! |
Ω |
0.51241502812334 |
Real period |
R |
1.9344794059697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8990b2 |
Quadratic twists by: -3 |