Atkin-Lehner |
3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
20181p |
Isogeny class |
Conductor |
20181 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
61380000 |
Modular degree for the optimal curve |
Δ |
-3.4861245586124E+23 |
Discriminant |
Eigenvalues |
-2 3- 4 7- -2 -1 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-38627497186,-2922098703793772] |
[a1,a2,a3,a4,a6] |
j |
-7776720357545683677184/425329947 |
j-invariant |
L |
2.1322621734328 |
L(r)(E,1)/r! |
Ω |
0.0053845004379616 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60543t1 20181f1 |
Quadratic twists by: -3 -31 |