Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4680t |
Isogeny class |
Conductor |
4680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5756581509120 = 211 · 39 · 5 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52347,-4608394] |
[a1,a2,a3,a4,a6] |
Generators |
[350:4466:1] |
Generators of the group modulo torsion |
j |
10625310339698/3855735 |
j-invariant |
L |
3.9000713870072 |
L(r)(E,1)/r! |
Ω |
0.31563566013276 |
Real period |
R |
6.1781222460205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9360t4 37440bd4 1560a4 23400g4 |
Quadratic twists by: -4 8 -3 5 |