Atkin-Lehner |
2- 3+ 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630cp |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
273792368640 = 218 · 3 · 5 · 74 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 6 2 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2500,-42043] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:81:1] |
Generators of the group modulo torsion |
j |
719718117601/114032640 |
j-invariant |
L |
9.1385369867005 |
L(r)(E,1)/r! |
Ω |
0.68239004626336 |
Real period |
R |
0.74399751585031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890bf1 42630cy1 |
Quadratic twists by: -3 -7 |