Atkin-Lehner |
2+ 3+ 5- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
49590h |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
628203713025375000 = 23 · 39 · 56 · 192 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -2 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-356739,72695645] |
[a1,a2,a3,a4,a6] |
Generators |
[49:7414:1] |
Generators of the group modulo torsion |
j |
255084973591883427/31916055125000 |
j-invariant |
L |
4.7065330211835 |
L(r)(E,1)/r! |
Ω |
0.27850273501391 |
Real period |
R |
0.70414225030521 |
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 |
49590z2 |
Quadratic twists by: -3 |