Atkin-Lehner |
2- 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
51480bv |
Isogeny class |
Conductor |
51480 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2.8696680130126E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14797227,20336373254] |
[a1,a2,a3,a4,a6] |
Generators |
[1678:15210:1] [3338:90200:1] |
Generators of the group modulo torsion |
j |
239997788713612187858/19220920226046825 |
j-invariant |
L |
9.4734081099595 |
L(r)(E,1)/r! |
Ω |
0.11537000457586 |
Real period |
R |
6.8427723369899 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960bj3 17160c4 |
Quadratic twists by: -4 -3 |