Atkin-Lehner |
2- 3+ 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630cn |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
2116800 |
Modular degree for the optimal curve |
Δ |
-2.6604605759929E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 5 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4618545,-3830349993] |
[a1,a2,a3,a4,a6] |
Generators |
[3997:201926:1] |
Generators of the group modulo torsion |
j |
-1889970111815574481/4615008525000 |
j-invariant |
L |
8.6820567298882 |
L(r)(E,1)/r! |
Ω |
0.051484883347528 |
Real period |
R |
5.6211041412453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890bc1 42630cu1 |
Quadratic twists by: -3 -7 |