Atkin-Lehner |
3- 7+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
116571h |
Isogeny class |
Conductor |
116571 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
74304 |
Modular degree for the optimal curve |
Δ |
-8687920059 = -1 · 33 · 74 · 133 · 61 |
Discriminant |
Eigenvalues |
1 3- -1 7+ 0 13- 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-124,4505] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:50:1] [-114:521:8] |
Generators of the group modulo torsion |
j |
-86806489/3618459 |
j-invariant |
L |
16.181220871972 |
L(r)(E,1)/r! |
Ω |
1.0838657045561 |
Real period |
R |
0.55293241052942 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116571d1 |
Quadratic twists by: -7 |