Atkin-Lehner |
2- 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
108836f |
Isogeny class |
Conductor |
108836 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
266112 |
Modular degree for the optimal curve |
Δ |
2586242876672 = 28 · 7 · 137 · 23 |
Discriminant |
Eigenvalues |
2- -2 -4 7+ -5 13+ 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3605,29719] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:338:1] |
Generators of the group modulo torsion |
j |
4194304/2093 |
j-invariant |
L |
2.15909089014 |
L(r)(E,1)/r! |
Ω |
0.71864209173737 |
Real period |
R |
0.25036696607357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003579 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8372c1 |
Quadratic twists by: 13 |