Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952ba |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-64257390118656 = -1 · 28 · 316 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,609,385630] |
[a1,a2,a3,a4,a6] |
Generators |
[14:630:1] |
Generators of the group modulo torsion |
j |
390224/1003833 |
j-invariant |
L |
5.2387177097362 |
L(r)(E,1)/r! |
Ω |
0.48723987672886 |
Real period |
R |
2.687956153604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59976bj2 39984x2 119952bi2 |
Quadratic twists by: -4 -3 -7 |