Atkin-Lehner |
2- 5- 29- 73- |
Signs for the Atkin-Lehner involutions |
Class |
21170g |
Isogeny class |
Conductor |
21170 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
112000 |
Modular degree for the optimal curve |
Δ |
-613299764019200 = -1 · 214 · 52 · 295 · 73 |
Discriminant |
Eigenvalues |
2- -1 5- 0 -2 -2 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-134370,-19051793] |
[a1,a2,a3,a4,a6] |
Generators |
[737:16451:1] |
Generators of the group modulo torsion |
j |
-268306297112777698081/613299764019200 |
j-invariant |
L |
6.5662904037692 |
L(r)(E,1)/r! |
Ω |
0.12466211355337 |
Real period |
R |
0.37623358834323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105850d1 |
Quadratic twists by: 5 |