Atkin-Lehner |
2+ 3- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
2838b |
Isogeny class |
Conductor |
2838 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
21168 |
Modular degree for the optimal curve |
Δ |
-282039076306944 = -1 · 214 · 39 · 11 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 11+ -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-195152,33175838] |
[a1,a2,a3,a4,a6] |
Generators |
[249:67:1] |
Generators of the group modulo torsion |
j |
-821938895581650775417/282039076306944 |
j-invariant |
L |
3.2612545864863 |
L(r)(E,1)/r! |
Ω |
0.53811843365033 |
Real period |
R |
1.0100795607278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
22704z1 90816q1 8514k1 70950bb1 |
Quadratic twists by: -4 8 -3 5 |