Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950fs |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-1134018711000000 = -1 · 26 · 34 · 56 · 77 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-26363,-2321719] |
[a1,a2,a3,a4,a6] |
j |
-1102302937/616896 |
j-invariant |
L |
4.3822941312403 |
L(r)(E,1)/r! |
Ω |
0.18259559422948 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4998q1 17850br1 |
Quadratic twists by: 5 -7 |