Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
103200z |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
665640000000 = 29 · 32 · 57 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2408,22188] |
[a1,a2,a3,a4,a6] |
Generators |
[74:225:8] |
Generators of the group modulo torsion |
j |
193100552/83205 |
j-invariant |
L |
8.7089333933349 |
L(r)(E,1)/r! |
Ω |
0.81928688445957 |
Real period |
R |
2.6574737012858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957471 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103200c2 20640m2 |
Quadratic twists by: -4 5 |