Atkin-Lehner |
2- 3+ 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
89700g |
Isogeny class |
Conductor |
89700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-6.7439858415967E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,101463492,36879211512] |
[a1,a2,a3,a4,a6] |
Generators |
[80123006:-12063127350:4913] |
Generators of the group modulo torsion |
j |
28879730202253083226544/16859964603991640625 |
j-invariant |
L |
2.9505160400289 |
L(r)(E,1)/r! |
Ω |
0.037380452773233 |
Real period |
R |
13.155342881312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17940j2 |
Quadratic twists by: 5 |