Atkin-Lehner |
2- 7+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
113498p |
Isogeny class |
Conductor |
113498 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-8.6869697953101E+21 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8050798,9869217348] |
[a1,a2,a3,a4,a6] |
Generators |
[-2198:131280:1] [1286:39892:1] |
Generators of the group modulo torsion |
j |
-32574997769987877625/4903567980617152 |
j-invariant |
L |
12.180555681057 |
L(r)(E,1)/r! |
Ω |
0.12596404024853 |
Real period |
R |
2.686074281627 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10318e4 |
Quadratic twists by: -11 |