Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650bc |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
707520 |
Modular degree for the optimal curve |
Δ |
-11146661812000 = -1 · 25 · 53 · 118 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 11- 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1178905,492190725] |
[a1,a2,a3,a4,a6] |
Generators |
[18075:41870:27] |
Generators of the group modulo torsion |
j |
-6762530274797/416 |
j-invariant |
L |
6.8236738680265 |
L(r)(E,1)/r! |
Ω |
0.54216886768142 |
Real period |
R |
6.292941440307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968829 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78650dj1 78650dh1 |
Quadratic twists by: 5 -11 |