Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
36162dc |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-21604828944384 = -1 · 211 · 37 · 76 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -2 -1 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18311,-974977] |
[a1,a2,a3,a4,a6] |
Generators |
[387:-7250:1] |
Generators of the group modulo torsion |
j |
-7916293657/251904 |
j-invariant |
L |
10.884347862658 |
L(r)(E,1)/r! |
Ω |
0.20482380518791 |
Real period |
R |
1.2077284771962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12054n1 738f1 |
Quadratic twists by: -3 -7 |