Atkin-Lehner |
2+ 3- 5- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
49590w |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
46401958080 = 26 · 36 · 5 · 193 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 3 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-909,-1755] |
[a1,a2,a3,a4,a6] |
Generators |
[34:59:1] |
Generators of the group modulo torsion |
j |
114013572049/63651520 |
j-invariant |
L |
4.7980419081385 |
L(r)(E,1)/r! |
Ω |
0.93342585017679 |
Real period |
R |
0.85670827651003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5510h1 |
Quadratic twists by: -3 |