Atkin-Lehner |
2- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
41650bl |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-3540308414125000 = -1 · 23 · 56 · 78 · 173 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 0 -2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,37337,-680219] |
[a1,a2,a3,a4,a6] |
Generators |
[2341:112508:1] |
Generators of the group modulo torsion |
j |
63905303/39304 |
j-invariant |
L |
12.597009737424 |
L(r)(E,1)/r! |
Ω |
0.25700723842587 |
Real period |
R |
5.446024622402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1666b2 41650bv2 |
Quadratic twists by: 5 -7 |