Atkin-Lehner |
2+ 3+ 13- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
42978b |
Isogeny class |
Conductor |
42978 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1.5322912017976E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 -4 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1003704909,-12239735151735] |
[a1,a2,a3,a4,a6] |
Generators |
[-1203420523849062240208935:583203463776793988782458:65786856220861454125] |
Generators of the group modulo torsion |
j |
111825759760338976846738658338393/1532291201797601099556 |
j-invariant |
L |
4.969555828544 |
L(r)(E,1)/r! |
Ω |
0.026822425204736 |
Real period |
R |
30.879359283636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
128934bj2 |
Quadratic twists by: -3 |