Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
73800bb |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
980359200000000 = 211 · 36 · 58 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -6 4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-243075,46102750] |
[a1,a2,a3,a4,a6] |
Generators |
[1766:71586:1] |
Generators of the group modulo torsion |
j |
68087453042/42025 |
j-invariant |
L |
4.3865612051871 |
L(r)(E,1)/r! |
Ω |
0.48928648572396 |
Real period |
R |
4.482610222293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000262 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8200i2 14760u2 |
Quadratic twists by: -3 5 |