Atkin-Lehner |
2+ 3+ 5- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116850n |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-246480468750 = -1 · 2 · 34 · 59 · 19 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 3 1 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1825,-39125] |
[a1,a2,a3,a4,a6] |
j |
-344472101/126198 |
j-invariant |
L |
1.4344959860044 |
L(r)(E,1)/r! |
Ω |
0.35862410798237 |
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 |
116850ck1 |
Quadratic twists by: 5 |