Atkin-Lehner |
3+ 7+ 37+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
36519a |
Isogeny class |
Conductor |
36519 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32000 |
Modular degree for the optimal curve |
Δ |
-186170100543 = -1 · 310 · 72 · 372 · 47 |
Discriminant |
Eigenvalues |
1 3+ -2 7+ 2 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,774,19359] |
[a1,a2,a3,a4,a6] |
Generators |
[10:163:1] |
Generators of the group modulo torsion |
j |
51176381367383/186170100543 |
j-invariant |
L |
4.1161256417235 |
L(r)(E,1)/r! |
Ω |
0.71770976698781 |
Real period |
R |
2.8675418888322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109557i1 |
Quadratic twists by: -3 |