Atkin-Lehner |
2- 11- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
125488j |
Isogeny class |
Conductor |
125488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-12819557438414848 = -1 · 213 · 11 · 236 · 312 |
Discriminant |
Eigenvalues |
2- 2 0 -2 11- 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-123848,-17596816] |
[a1,a2,a3,a4,a6] |
Generators |
[95509081016328885863265:598555328790108812937256:223716749842481575113] |
Generators of the group modulo torsion |
j |
-51290184785703625/3129774765238 |
j-invariant |
L |
9.557307866687 |
L(r)(E,1)/r! |
Ω |
0.12679876822152 |
Real period |
R |
37.686911348947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999920972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15686d2 |
Quadratic twists by: -4 |