Atkin-Lehner |
2- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
42050be |
Isogeny class |
Conductor |
42050 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
2871000 |
Modular degree for the optimal curve |
Δ |
-1.5632700405031E+20 |
Discriminant |
Eigenvalues |
2- -3 5+ 0 -5 2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,952695,483254697] |
[a1,a2,a3,a4,a6] |
Generators |
[5995:467776:1] |
Generators of the group modulo torsion |
j |
19575/32 |
j-invariant |
L |
4.9560940880169 |
L(r)(E,1)/r! |
Ω |
0.12446620568276 |
Real period |
R |
7.9637586135507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42050r1 42050h1 |
Quadratic twists by: 5 29 |