Atkin-Lehner |
2+ 3+ 13- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
42978a |
Isogeny class |
Conductor |
42978 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
43680 |
Modular degree for the optimal curve |
Δ |
-29750403072 = -1 · 213 · 3 · 133 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -1 6 13- -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,321,8133] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:64:1] |
Generators of the group modulo torsion |
j |
3640182186887/29750403072 |
j-invariant |
L |
4.4608084802899 |
L(r)(E,1)/r! |
Ω |
0.85995490900818 |
Real period |
R |
1.7290861933814 |
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 |
128934bi1 |
Quadratic twists by: -3 |