Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480da |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
7.6834888579091E+26 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-419817760,3030228557300] |
[a1,a2,a3,a4,a6] |
Generators |
[78548:21323346:1] |
Generators of the group modulo torsion |
j |
1997773216431678333214187041/187585177195046990066400 |
j-invariant |
L |
6.4867699798272 |
L(r)(E,1)/r! |
Ω |
0.049124148772212 |
Real period |
R |
5.5020206812355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2310o5 73920dz6 55440cs6 92400ek6 |
Quadratic twists by: -4 8 -3 5 |