Atkin-Lehner |
2- 3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
97284s |
Isogeny class |
Conductor |
97284 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2787840 |
Modular degree for the optimal curve |
Δ |
-24122720620069632 = -1 · 28 · 38 · 118 · 67 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- -4 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19393557,32866157223] |
[a1,a2,a3,a4,a6] |
Generators |
[2562:1731:1] |
Generators of the group modulo torsion |
j |
-14699910846742528/439587 |
j-invariant |
L |
9.4302670621291 |
L(r)(E,1)/r! |
Ω |
0.27746804911872 |
Real period |
R |
4.2483571930474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003833 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97284r1 |
Quadratic twists by: -11 |