Atkin-Lehner |
3+ 5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
124545j |
Isogeny class |
Conductor |
124545 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-308385749955 = -1 · 3 · 5 · 197 · 23 |
Discriminant |
Eigenvalues |
1 3+ 5+ 5 3 -1 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-368,26703] |
[a1,a2,a3,a4,a6] |
j |
-117649/6555 |
j-invariant |
L |
1.6034863017394 |
L(r)(E,1)/r! |
Ω |
0.80174256957713 |
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 |
6555j1 |
Quadratic twists by: -19 |