Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200i |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
181817211699200 = 214 · 52 · 79 · 11 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 11+ 5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40213,-3048717] |
[a1,a2,a3,a4,a6] |
Generators |
[-36432798:6048117:357911] |
Generators of the group modulo torsion |
j |
17557957181440/443889677 |
j-invariant |
L |
4.4222892921124 |
L(r)(E,1)/r! |
Ω |
0.33765766588726 |
Real period |
R |
13.096960993218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029229 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200gj2 7700e2 123200de2 |
Quadratic twists by: -4 8 5 |