Atkin-Lehner |
2+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
90944s |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1528495808 = -1 · 26 · 77 · 29 |
Discriminant |
Eigenvalues |
2+ 1 -2 7- 0 0 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-359,3107] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:29:1] [2:49:1] |
Generators of the group modulo torsion |
j |
-681472/203 |
j-invariant |
L |
11.471298374965 |
L(r)(E,1)/r! |
Ω |
1.4279040002412 |
Real period |
R |
2.0084155470935 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996505 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90944w1 45472bi1 12992d1 |
Quadratic twists by: -4 8 -7 |