Atkin-Lehner |
3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
93795a |
Isogeny class |
Conductor |
93795 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-17352075 = -1 · 3 · 52 · 132 · 372 |
Discriminant |
Eigenvalues |
0 3+ 5+ 3 -2 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,9,197] |
[a1,a2,a3,a4,a6] |
Generators |
[5:18:1] |
Generators of the group modulo torsion |
j |
425984/102675 |
j-invariant |
L |
3.8538757174922 |
L(r)(E,1)/r! |
Ω |
1.6938047787169 |
Real period |
R |
0.56881934873873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999818647 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93795j1 |
Quadratic twists by: 13 |