Atkin-Lehner |
2+ 3- 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270r |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3.6274401754768E+29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2496013830,-38262603000524] |
[a1,a2,a3,a4,a6] |
Generators |
[6564933079111339298583735549:-789707995443993312785083937324:103684577144404470725727] |
Generators of the group modulo torsion |
j |
2359050000960547954302631210081/497591244921371048032665600 |
j-invariant |
L |
3.4597890238182 |
L(r)(E,1)/r! |
Ω |
0.021677695578365 |
Real period |
R |
39.900332248313 |
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 |
12090x2 |
Quadratic twists by: -3 |