Atkin-Lehner |
2+ 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
119646q |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8018176714056 = -1 · 23 · 36 · 173 · 234 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4842,-42980] |
[a1,a2,a3,a4,a6] |
Generators |
[47:512:1] [51:553:1] |
Generators of the group modulo torsion |
j |
3504881359/2238728 |
j-invariant |
L |
7.1360043176714 |
L(r)(E,1)/r! |
Ω |
0.42326027123651 |
Real period |
R |
8.4298064374051 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990704 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13294j2 119646z2 |
Quadratic twists by: -3 17 |