Atkin-Lehner |
2- 3+ 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450bl |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
9.574557696E+18 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2421563,-1443761719] |
[a1,a2,a3,a4,a6] |
Generators |
[-945:1822:1] |
Generators of the group modulo torsion |
j |
100505774372559028201/612771692544000 |
j-invariant |
L |
8.6573541272504 |
L(r)(E,1)/r! |
Ω |
0.12106959730553 |
Real period |
R |
1.7876812835587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003243 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490o1 |
Quadratic twists by: 5 |