Atkin-Lehner |
2- 3- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
36162by |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-2930223453398887968 = -1 · 25 · 318 · 78 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 6 -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,343750,27578009] |
[a1,a2,a3,a4,a6] |
j |
1068910070375/697250592 |
j-invariant |
L |
4.7631565850898 |
L(r)(E,1)/r! |
Ω |
0.15877188616951 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12054k1 36162ce1 |
Quadratic twists by: -3 -7 |