Atkin-Lehner |
2- 7- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10234m |
Isogeny class |
Conductor |
10234 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
77281928192 = 210 · 74 · 17 · 432 |
Discriminant |
Eigenvalues |
2- -2 -2 7- -4 -6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1309,-12495] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:87:1] [-14:63:1] |
Generators of the group modulo torsion |
j |
248063797363537/77281928192 |
j-invariant |
L |
5.8792778712287 |
L(r)(E,1)/r! |
Ω |
0.81308292234043 |
Real period |
R |
0.36154232918235 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81872w1 92106r1 71638n1 |
Quadratic twists by: -4 -3 -7 |