Atkin-Lehner |
2- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
68800ds |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-1075000000 = -1 · 26 · 58 · 43 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -5 1 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3883,91863] |
[a1,a2,a3,a4,a6] |
Generators |
[38:25:1] |
Generators of the group modulo torsion |
j |
-6476460544/1075 |
j-invariant |
L |
2.9921822672257 |
L(r)(E,1)/r! |
Ω |
1.5026522302355 |
Real period |
R |
0.99563365596586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998545 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800cy1 34400c1 13760r1 |
Quadratic twists by: -4 8 5 |