Atkin-Lehner |
2+ 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950dr |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1175040 |
Modular degree for the optimal curve |
Δ |
-7768448177280000 = -1 · 210 · 3 · 54 · 77 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 -4 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-167851,-26820202] |
[a1,a2,a3,a4,a6] |
j |
-7112520550825/105649152 |
j-invariant |
L |
0.94263693482056 |
L(r)(E,1)/r! |
Ω |
0.11782987438747 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950fo1 17850k1 |
Quadratic twists by: 5 -7 |