Atkin-Lehner |
2+ 5- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
57850l |
Isogeny class |
Conductor |
57850 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
648000 |
Modular degree for the optimal curve |
Δ |
-5369825012500000 = -1 · 25 · 58 · 136 · 89 |
Discriminant |
Eigenvalues |
2+ -2 5- 5 3 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,42674,-953952] |
[a1,a2,a3,a4,a6] |
Generators |
[125258:2667531:343] |
Generators of the group modulo torsion |
j |
22002314363015/13746752032 |
j-invariant |
L |
3.9284205807753 |
L(r)(E,1)/r! |
Ω |
0.24728237327504 |
Real period |
R |
7.9431876376795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998641 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
57850o1 |
Quadratic twists by: 5 |