Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
36456w |
Isogeny class |
Conductor |
36456 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
42048 |
Modular degree for the optimal curve |
Δ |
514467072 = 28 · 33 · 74 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -5 4 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8689,308867] |
[a1,a2,a3,a4,a6] |
Generators |
[53:6:1] |
Generators of the group modulo torsion |
j |
118045914112/837 |
j-invariant |
L |
5.3604650128515 |
L(r)(E,1)/r! |
Ω |
1.4767619303589 |
Real period |
R |
0.60497959563344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72912b1 109368j1 36456u1 |
Quadratic twists by: -4 -3 -7 |