Atkin-Lehner |
2- 3+ 7- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113274bi |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
262213745246208 = 218 · 33 · 72 · 293 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -6 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-43670,3435941] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:2683:1] |
Generators of the group modulo torsion |
j |
341114515450675875/9711620194304 |
j-invariant |
L |
11.035014691218 |
L(r)(E,1)/r! |
Ω |
0.54997353545208 |
Real period |
R |
3.3441047506953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013816 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
113274g3 |
Quadratic twists by: -3 |