Atkin-Lehner |
3- 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
96075cb |
Isogeny class |
Conductor |
96075 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
51478426125 = 39 · 53 · 73 · 61 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 1 -1 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-930,31] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:87:1] [-11:-95:1] |
Generators of the group modulo torsion |
j |
976191488/564921 |
j-invariant |
L |
9.8607390250497 |
L(r)(E,1)/r! |
Ω |
0.94998269155279 |
Real period |
R |
0.43249643356678 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999267 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32025m1 96075bv1 |
Quadratic twists by: -3 5 |