Atkin-Lehner |
2+ 3+ 5- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
49590h |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
-17258048258904000 = -1 · 26 · 39 · 53 · 194 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -2 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,33141,5870213] |
[a1,a2,a3,a4,a6] |
Generators |
[94:-3179:1] |
Generators of the group modulo torsion |
j |
204513449781213/876799688000 |
j-invariant |
L |
4.7065330211835 |
L(r)(E,1)/r! |
Ω |
0.27850273501391 |
Real period |
R |
1.4082845006104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49590z1 |
Quadratic twists by: -3 |