Atkin-Lehner |
2- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36800de |
Isogeny class |
Conductor |
36800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
575000000 = 26 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- 3 -5 -1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8375,-295000] |
[a1,a2,a3,a4,a6] |
Generators |
[-18891964:483286:357911] |
Generators of the group modulo torsion |
j |
2598592320/23 |
j-invariant |
L |
5.1610956307362 |
L(r)(E,1)/r! |
Ω |
0.49906094128129 |
Real period |
R |
10.341614027109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36800dn1 18400s1 36800co1 |
Quadratic twists by: -4 8 5 |