Atkin-Lehner |
2- 3- 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
49590bt |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
32905543680 = 214 · 36 · 5 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 1 2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1373,-17179] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:40:1] |
Generators of the group modulo torsion |
j |
392383937161/45137920 |
j-invariant |
L |
9.7561662731136 |
L(r)(E,1)/r! |
Ω |
0.79022355500985 |
Real period |
R |
0.88186313239032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999788 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5510g1 |
Quadratic twists by: -3 |