Atkin-Lehner |
3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
55815j |
Isogeny class |
Conductor |
55815 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
535680 |
Modular degree for the optimal curve |
Δ |
-10606757071570875 = -1 · 33 · 53 · 617 |
Discriminant |
Eigenvalues |
-2 3- 5+ -1 -4 4 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-23566,-5154860] |
[a1,a2,a3,a4,a6] |
j |
-28094464/205875 |
j-invariant |
L |
1.0233010657886 |
L(r)(E,1)/r! |
Ω |
0.17055017805152 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
915c1 |
Quadratic twists by: 61 |