Atkin-Lehner |
2- 3- 7- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
99918bb |
Isogeny class |
Conductor |
99918 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
3197977106688 = 28 · 38 · 74 · 13 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7205,220893] |
[a1,a2,a3,a4,a6] |
Generators |
[71:216:1] |
Generators of the group modulo torsion |
j |
56733768015625/4386799872 |
j-invariant |
L |
10.277667695081 |
L(r)(E,1)/r! |
Ω |
0.77962455161672 |
Real period |
R |
0.411963828834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004181 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33306c1 |
Quadratic twists by: -3 |