Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304t |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-51066359757504 = -1 · 26 · 32 · 79 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 4 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-188911,31668337] |
[a1,a2,a3,a4,a6] |
j |
-99021508447744/6782139 |
j-invariant |
L |
2.4049610214177 |
L(r)(E,1)/r! |
Ω |
0.60124018788518 |
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 |
122304dc1 61152cb1 17472ba1 |
Quadratic twists by: -4 8 -7 |