Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992cm |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-15675412709376 = -1 · 219 · 39 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 1 -5 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-132492,18563312] |
[a1,a2,a3,a4,a6] |
Generators |
[286:2016:1] |
Generators of the group modulo torsion |
j |
-1345938541921/82026 |
j-invariant |
L |
8.1304417798263 |
L(r)(E,1)/r! |
Ω |
0.66165001962293 |
Real period |
R |
0.7680081599233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999440193 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124992eu1 3906j1 41664p1 |
Quadratic twists by: -4 8 -3 |