Atkin-Lehner |
2- 3+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
97284a |
Isogeny class |
Conductor |
97284 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-121330556388096 = -1 · 28 · 3 · 119 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 1 -3 11- 1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10325,-662847] |
[a1,a2,a3,a4,a6] |
Generators |
[2487400:20387581:15625] |
Generators of the group modulo torsion |
j |
-268435456/267531 |
j-invariant |
L |
5.3966552100659 |
L(r)(E,1)/r! |
Ω |
0.22764489282376 |
Real period |
R |
11.85323147051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999900438 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8844c1 |
Quadratic twists by: -11 |