Atkin-Lehner |
2- 3+ 7- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
92106bm |
Isogeny class |
Conductor |
92106 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
42948420637248 = 26 · 33 · 76 · 173 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10460,-262177] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:141:1] |
Generators of the group modulo torsion |
j |
4687227968263875/1590682245824 |
j-invariant |
L |
11.458200704894 |
L(r)(E,1)/r! |
Ω |
0.48505904073473 |
Real period |
R |
3.937046744869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000463 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
92106f3 |
Quadratic twists by: -3 |