Atkin-Lehner |
2- 3+ 5+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
109650bv |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
192369960000000000 = 212 · 32 · 510 · 172 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-574688,166113281] |
[a1,a2,a3,a4,a6] |
Generators |
[-445:18497:1] |
Generators of the group modulo torsion |
j |
1343383839781990201/12311677440000 |
j-invariant |
L |
10.647586073947 |
L(r)(E,1)/r! |
Ω |
0.32011701570559 |
Real period |
R |
1.3858976512192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999902202 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21930s2 |
Quadratic twists by: 5 |