Atkin-Lehner |
2- 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950he |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
262080 |
Modular degree for the optimal curve |
Δ |
-585468843750 = -1 · 2 · 33 · 56 · 74 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -1 -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10438,411242] |
[a1,a2,a3,a4,a6] |
j |
-3352478521/15606 |
j-invariant |
L |
5.5376992948874 |
L(r)(E,1)/r! |
Ω |
0.9229501035807 |
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 |
4998a1 124950ex1 |
Quadratic twists by: 5 -7 |