Atkin-Lehner |
2+ 3- 5+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
119850t |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-318106828800 = -1 · 216 · 35 · 52 · 17 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 5 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-808506,-279883412] |
[a1,a2,a3,a4,a6] |
j |
-2337936293466990960385/12724273152 |
j-invariant |
L |
3.1842635470847 |
L(r)(E,1)/r! |
Ω |
0.079606551578165 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119850cg1 |
Quadratic twists by: 5 |