Atkin-Lehner |
2- 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
35400i |
Isogeny class |
Conductor |
35400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-746718750000 = -1 · 24 · 34 · 510 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1383,46512] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:250:1] [-3:225:1] |
Generators of the group modulo torsion |
j |
-1171019776/2986875 |
j-invariant |
L |
7.3842167919681 |
L(r)(E,1)/r! |
Ω |
0.79528744209173 |
Real period |
R |
2.3212414785985 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70800l1 106200o1 7080f1 |
Quadratic twists by: -4 -3 5 |