Atkin-Lehner |
2+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
104104j |
Isogeny class |
Conductor |
104104 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
51456 |
Modular degree for the optimal curve |
Δ |
-476379904 = -1 · 28 · 7 · 112 · 133 |
Discriminant |
Eigenvalues |
2+ 2 3 7- 11+ 13- 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-329,-2419] |
[a1,a2,a3,a4,a6] |
Generators |
[25:66:1] |
Generators of the group modulo torsion |
j |
-7023616/847 |
j-invariant |
L |
13.361295914145 |
L(r)(E,1)/r! |
Ω |
0.55658804300442 |
Real period |
R |
1.5003574087888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104104u1 |
Quadratic twists by: 13 |