Atkin-Lehner |
3- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
4797b |
Isogeny class |
Conductor |
4797 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-1866953827323 = -1 · 313 · 134 · 41 |
Discriminant |
Eigenvalues |
-2 3- 0 -2 1 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2445,-46436] |
[a1,a2,a3,a4,a6] |
Generators |
[76:760:1] |
Generators of the group modulo torsion |
j |
2217342464000/2560979187 |
j-invariant |
L |
1.8181706585338 |
L(r)(E,1)/r! |
Ω |
0.44864137334066 |
Real period |
R |
1.0131536938933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76752bt1 1599b1 119925bl1 62361g1 |
Quadratic twists by: -4 -3 5 13 |