Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992dz |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
417792 |
Modular degree for the optimal curve |
Δ |
-192023805689856 = -1 · 217 · 39 · 74 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -1 -1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25164,-1674864] |
[a1,a2,a3,a4,a6] |
Generators |
[192:756:1] |
Generators of the group modulo torsion |
j |
-683064198/74431 |
j-invariant |
L |
5.5857706713047 |
L(r)(E,1)/r! |
Ω |
0.18837053746775 |
Real period |
R |
1.8533188512758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999668472 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124992l1 31248e1 124992dx1 |
Quadratic twists by: -4 8 -3 |