Atkin-Lehner |
2- 3+ 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630co |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
3161088 |
Modular degree for the optimal curve |
Δ |
9.6089762182857E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 -2 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11970750,15929569935] |
[a1,a2,a3,a4,a6] |
Generators |
[1833:11333:1] |
Generators of the group modulo torsion |
j |
32908150684150663201/16668357187500 |
j-invariant |
L |
8.6581366677619 |
L(r)(E,1)/r! |
Ω |
0.18725395947988 |
Real period |
R |
1.1008905323531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890bd1 42630cv1 |
Quadratic twists by: -3 -7 |