Atkin-Lehner |
2- 3+ 7- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
79254x |
Isogeny class |
Conductor |
79254 |
Conductor |
∏ cp |
204 |
Product of Tamagawa factors cp |
deg |
150144 |
Modular degree for the optimal curve |
Δ |
-12979781369856 = -1 · 217 · 33 · 73 · 172 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -2 2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6137,-252007] |
[a1,a2,a3,a4,a6] |
Generators |
[327:5548:1] |
Generators of the group modulo torsion |
j |
-946590131425203/480732643328 |
j-invariant |
L |
11.667877097296 |
L(r)(E,1)/r! |
Ω |
0.26337903779072 |
Real period |
R |
0.21716031939303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998383 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79254f1 |
Quadratic twists by: -3 |