Atkin-Lehner |
2+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
104104k |
Isogeny class |
Conductor |
104104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-293156864 = -1 · 211 · 7 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 1 3 7- 11- 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-264,-1936] |
[a1,a2,a3,a4,a6] |
Generators |
[541255:8493694:2197] |
Generators of the group modulo torsion |
j |
-5901506/847 |
j-invariant |
L |
11.132693064679 |
L(r)(E,1)/r! |
Ω |
0.58734255082859 |
Real period |
R |
9.4771722555999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000915 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104104n1 |
Quadratic twists by: 13 |