Atkin-Lehner |
2- 3+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
78144bx |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38912 |
Modular degree for the optimal curve |
Δ |
31804608 = 26 · 3 · 112 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11+ -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5472,157638] |
[a1,a2,a3,a4,a6] |
Generators |
[794:6105:8] |
Generators of the group modulo torsion |
j |
283179211757632/496947 |
j-invariant |
L |
6.9385477052305 |
L(r)(E,1)/r! |
Ω |
1.781089214746 |
Real period |
R |
3.8956766730901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980573 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144dd1 39072p2 |
Quadratic twists by: -4 8 |