Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650bd |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
321600 |
Modular degree for the optimal curve |
Δ |
-98312500000 = -1 · 25 · 59 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-243576,-46290202] |
[a1,a2,a3,a4,a6] |
Generators |
[221730784:28794037:389017] |
Generators of the group modulo torsion |
j |
-6762530274797/416 |
j-invariant |
L |
2.776079648261 |
L(r)(E,1)/r! |
Ω |
0.10745116967917 |
Real period |
R |
12.917866128436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999918668 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78650dh1 78650dj1 |
Quadratic twists by: 5 -11 |