Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
36300bo |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
64307664300000000 = 28 · 3 · 58 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 2 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1198908,504727188] |
[a1,a2,a3,a4,a6] |
j |
26894628304/9075 |
j-invariant |
L |
2.7375162167563 |
L(r)(E,1)/r! |
Ω |
0.34218952709603 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108900ce2 7260b2 3300k2 |
Quadratic twists by: -3 5 -11 |