Atkin-Lehner |
2- 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630cf |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
614127780 = 22 · 32 · 5 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-246,783] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:53:1] |
Generators of the group modulo torsion |
j |
13997521/5220 |
j-invariant |
L |
6.5479719319022 |
L(r)(E,1)/r! |
Ω |
1.4859454602076 |
Real period |
R |
2.2033015703667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999892 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127890cx1 870h1 |
Quadratic twists by: -3 -7 |