Atkin-Lehner |
2- 3- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
117648be |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-4458428137728 = -1 · 28 · 310 · 193 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 -4 -4 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1191,-102814] |
[a1,a2,a3,a4,a6] |
Generators |
[70:396:1] |
Generators of the group modulo torsion |
j |
-1001132368/23889897 |
j-invariant |
L |
2.3768363655843 |
L(r)(E,1)/r! |
Ω |
0.33557855935677 |
Real period |
R |
3.54140074093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000202335 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29412h1 39216l1 |
Quadratic twists by: -4 -3 |