Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121380h |
Isogeny class |
Conductor |
121380 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-7.6580308064186E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1335084,-1192141944] |
[a1,a2,a3,a4,a6] |
Generators |
[2370:123606:1] |
Generators of the group modulo torsion |
j |
42590787180464/123932044845 |
j-invariant |
L |
5.698439228221 |
L(r)(E,1)/r! |
Ω |
0.081901212052465 |
Real period |
R |
3.8653878805652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000146952 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7140n2 |
Quadratic twists by: 17 |