Atkin-Lehner |
2- 3- 5- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
124080cl |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
626688 |
Modular degree for the optimal curve |
Δ |
-2341931581440000 = -1 · 228 · 33 · 54 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29480,3026100] |
[a1,a2,a3,a4,a6] |
j |
-691768740750121/571760640000 |
j-invariant |
L |
5.0588180323816 |
L(r)(E,1)/r! |
Ω |
0.42156826935321 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15510b1 |
Quadratic twists by: -4 |