Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72912bl |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
941131763712 = 212 · 32 · 77 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -2 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2760,31536] |
[a1,a2,a3,a4,a6] |
Generators |
[68:-392:1] |
Generators of the group modulo torsion |
j |
4826809/1953 |
j-invariant |
L |
3.8009793366594 |
L(r)(E,1)/r! |
Ω |
0.80081142091647 |
Real period |
R |
0.59330125010189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999091 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4557o1 10416bi1 |
Quadratic twists by: -4 -7 |