Atkin-Lehner |
2+ 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
117208h |
Isogeny class |
Conductor |
117208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
-441260927744 = -1 · 28 · 78 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ -1 3 7- 3 13- 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1111,-28979] |
[a1,a2,a3,a4,a6] |
Generators |
[75:686:1] |
Generators of the group modulo torsion |
j |
5030912/14651 |
j-invariant |
L |
7.4463613530523 |
L(r)(E,1)/r! |
Ω |
0.48220092396446 |
Real period |
R |
0.96515281793058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000085792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16744a1 |
Quadratic twists by: -7 |