Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050eg |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-123201000000000 = -1 · 29 · 36 · 59 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 13+ -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,12370,-72003] |
[a1,a2,a3,a4,a6] |
Generators |
[149:2175:1] |
Generators of the group modulo torsion |
j |
108750551/64000 |
j-invariant |
L |
9.8172395026228 |
L(r)(E,1)/r! |
Ω |
0.34520149179499 |
Real period |
R |
0.3949882948493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000176 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8450f2 15210i2 76050be2 |
Quadratic twists by: -3 5 13 |