Atkin-Lehner |
2- 3- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
79296by |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-26643456 = -1 · 210 · 32 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 6 0 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,51,-189] |
[a1,a2,a3,a4,a6] |
Generators |
[30:171:1] |
Generators of the group modulo torsion |
j |
14047232/26019 |
j-invariant |
L |
6.614438510608 |
L(r)(E,1)/r! |
Ω |
1.1056469177145 |
Real period |
R |
2.9912074121643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993944 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79296m1 19824b1 |
Quadratic twists by: -4 8 |