Atkin-Lehner |
2+ 3+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
2838a |
Isogeny class |
Conductor |
2838 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
336 |
Modular degree for the optimal curve |
Δ |
-686796 = -1 · 22 · 3 · 113 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -1 11- -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-27,57] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:13:1] |
Generators of the group modulo torsion |
j |
-2305199161/686796 |
j-invariant |
L |
2.1851738969739 |
L(r)(E,1)/r! |
Ω |
2.7142501419943 |
Real period |
R |
0.13417910304614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22704be1 90816bb1 8514i1 70950bw1 |
Quadratic twists by: -4 8 -3 5 |