Atkin-Lehner |
2- 3- 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
42966ba |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
-1.8163520092817E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2923925,-2029983667] |
[a1,a2,a3,a4,a6] |
Generators |
[3469:170206:1] |
Generators of the group modulo torsion |
j |
-3792230530273904559625/249156654222456288 |
j-invariant |
L |
9.340031517693 |
L(r)(E,1)/r! |
Ω |
0.057508631380945 |
Real period |
R |
2.7068491846097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14322c2 |
Quadratic twists by: -3 |