Atkin-Lehner |
2+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61370a |
Isogeny class |
Conductor |
61370 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-2.0989026548121E+26 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 -3 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-759064239,8079504422562] |
[a1,a2,a3,a4,a6] |
Generators |
[2000568756:479310855039:29791] |
Generators of the group modulo torsion |
j |
-2847937787543324889289/12358435328000000 |
j-invariant |
L |
4.9922662436146 |
L(r)(E,1)/r! |
Ω |
0.056524787031303 |
Real period |
R |
7.359995655313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61370n2 |
Quadratic twists by: -19 |