Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992ft |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-120550659264 = -1 · 26 · 311 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -4 1 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-678,-18034] |
[a1,a2,a3,a4,a6] |
Generators |
[65:461:1] [73:567:1] |
Generators of the group modulo torsion |
j |
-738763264/2583819 |
j-invariant |
L |
11.287354740968 |
L(r)(E,1)/r! |
Ω |
0.42951021434387 |
Real period |
R |
2.1899663006756 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986356 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124992ew1 62496br1 41664cn1 |
Quadratic twists by: -4 8 -3 |