Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4368y |
Isogeny class |
Conductor |
4368 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
114240 |
Modular degree for the optimal curve |
Δ |
-3051641124100767744 = -1 · 229 · 37 · 7 · 135 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -1 13+ 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1607744,788598324] |
[a1,a2,a3,a4,a6] |
j |
-112205650221491190337/745029571313664 |
j-invariant |
L |
3.5617608216452 |
L(r)(E,1)/r! |
Ω |
0.25441148726037 |
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 |
546e1 17472ck1 13104cf1 109200dd1 |
Quadratic twists by: -4 8 -3 5 |