Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68450bp |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
959040 |
Modular degree for the optimal curve |
Δ |
3512479453921000 = 23 · 53 · 378 |
Discriminant |
Eigenvalues |
2- 3 5- 2 0 1 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-174120,27863107] |
[a1,a2,a3,a4,a6] |
Generators |
[-5127:201055:27] |
Generators of the group modulo torsion |
j |
1329669/8 |
j-invariant |
L |
19.064218762512 |
L(r)(E,1)/r! |
Ω |
0.44713975430575 |
Real period |
R |
2.3686627154748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68450v1 68450u1 |
Quadratic twists by: 5 37 |