Atkin-Lehner |
2+ 3+ 5+ 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
39390c |
Isogeny class |
Conductor |
39390 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1132560 |
Modular degree for the optimal curve |
Δ |
-9.9898367049046E+18 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -5 13- -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-736618,-287253932] |
[a1,a2,a3,a4,a6] |
j |
-44202986687414541273769/9989836704904642560 |
j-invariant |
L |
0.72461931312708 |
L(r)(E,1)/r! |
Ω |
0.080513257014004 |
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 |
118170bf1 |
Quadratic twists by: -3 |