Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42630dc |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
840 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-15618399440515200 = -1 · 27 · 35 · 52 · 77 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 -1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,62474,-167644] |
[a1,a2,a3,a4,a6] |
Generators |
[1586:63152:1] |
Generators of the group modulo torsion |
j |
229209691863599/132754204800 |
j-invariant |
L |
9.8507990696733 |
L(r)(E,1)/r! |
Ω |
0.23364539515311 |
Real period |
R |
0.050192051685522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890cr1 6090w1 |
Quadratic twists by: -3 -7 |