Atkin-Lehner |
2+ 3- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
83304l |
Isogeny class |
Conductor |
83304 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-20524005006336 = -1 · 210 · 37 · 13 · 893 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 3 13- 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15627,-782858] |
[a1,a2,a3,a4,a6] |
j |
-565357377316/27493791 |
j-invariant |
L |
5.1095421886407 |
L(r)(E,1)/r! |
Ω |
0.2128975910617 |
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 |
27768l1 |
Quadratic twists by: -3 |