Atkin-Lehner |
2+ 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42630bx |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-727991983434240 = -1 · 29 · 35 · 5 · 79 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 1 -6 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-42558,-3623504] |
[a1,a2,a3,a4,a6] |
Generators |
[242:393:1] |
Generators of the group modulo torsion |
j |
-72454344765769/6187829760 |
j-invariant |
L |
5.3265722573071 |
L(r)(E,1)/r! |
Ω |
0.1653908403344 |
Real period |
R |
1.6102984441371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890es1 6090c1 |
Quadratic twists by: -3 -7 |