Atkin-Lehner |
2- 3- 13- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42978v |
Isogeny class |
Conductor |
42978 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-8.8280159906925E+22 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 -3 13- -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3910355,-13981592329] |
[a1,a2,a3,a4,a6] |
Generators |
[150526:20664757:8] [5291818:71637061:2744] |
Generators of the group modulo torsion |
j |
6612600178387895114470319/88280159906925363790998 |
j-invariant |
L |
12.003721518238 |
L(r)(E,1)/r! |
Ω |
0.052695131410378 |
Real period |
R |
37.965941055531 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128934r2 |
Quadratic twists by: -3 |