Atkin-Lehner |
2- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
49010n |
Isogeny class |
Conductor |
49010 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
-45492674825000 = -1 · 23 · 55 · 137 · 29 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 -4 13+ 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-90841,-10550879] |
[a1,a2,a3,a4,a6] |
Generators |
[2790:2323:8] |
Generators of the group modulo torsion |
j |
-17175508997401/9425000 |
j-invariant |
L |
7.3247558488967 |
L(r)(E,1)/r! |
Ω |
0.1374943218807 |
Real period |
R |
4.4394292971074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999723 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3770c1 |
Quadratic twists by: 13 |