Atkin-Lehner |
3+ 7+ 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
36519c |
Isogeny class |
Conductor |
36519 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-1675530904887 = -1 · 312 · 72 · 372 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ -4 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8943,-335148] |
[a1,a2,a3,a4,a6] |
j |
-79099991993184625/1675530904887 |
j-invariant |
L |
0.49032471474997 |
L(r)(E,1)/r! |
Ω |
0.245162357372 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109557e1 |
Quadratic twists by: -3 |