Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920cq |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-13305600000000 = -1 · 214 · 33 · 58 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-561,-175761] |
[a1,a2,a3,a4,a6] |
Generators |
[315:5568:1] |
Generators of the group modulo torsion |
j |
-1193895376/812109375 |
j-invariant |
L |
7.1590547003771 |
L(r)(E,1)/r! |
Ω |
0.31861792496491 |
Real period |
R |
3.7448482649253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920el1 9240i1 |
Quadratic twists by: -4 8 |