Atkin-Lehner |
2- 3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150ea |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
9079519885425000000 = 26 · 33 · 58 · 115 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6233255,-5986598753] |
[a1,a2,a3,a4,a6] |
Generators |
[19829:2758960:1] |
Generators of the group modulo torsion |
j |
63486961018176728187/21521824913600 |
j-invariant |
L |
12.963630453912 |
L(r)(E,1)/r! |
Ω |
0.095549775709889 |
Real period |
R |
5.6530877742948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84150n1 16830d1 |
Quadratic twists by: -3 5 |