Atkin-Lehner |
2- 3+ 37- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
118992n |
Isogeny class |
Conductor |
118992 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
19011170606616576 = 212 · 33 · 376 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-270752,53908800] |
[a1,a2,a3,a4,a6] |
Generators |
[325:370:1] |
Generators of the group modulo torsion |
j |
535895843136338593/4641399073881 |
j-invariant |
L |
5.3716518563105 |
L(r)(E,1)/r! |
Ω |
0.38827277088232 |
Real period |
R |
2.3057895530355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000117913 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7437a1 |
Quadratic twists by: -4 |