Atkin-Lehner |
2+ 3- 5+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
87450t |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-7807622083593750 = -1 · 2 · 35 · 58 · 114 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ -4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,48099,-1255802] |
[a1,a2,a3,a4,a6] |
Generators |
[32:546:1] [56:1242:1] |
Generators of the group modulo torsion |
j |
787634638719551/499687813350 |
j-invariant |
L |
8.5544845570322 |
L(r)(E,1)/r! |
Ω |
0.23888082318238 |
Real period |
R |
1.7905339664834 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490s2 |
Quadratic twists by: 5 |