Atkin-Lehner |
2+ 3- 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
36270k |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-270553727285156250 = -1 · 2 · 38 · 510 · 133 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,156420,-7739550] |
[a1,a2,a3,a4,a6] |
j |
580592560582393919/371129941406250 |
j-invariant |
L |
0.70999158233013 |
L(r)(E,1)/r! |
Ω |
0.17749789558392 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090bg2 |
Quadratic twists by: -3 |