Atkin-Lehner |
2+ 3- 7+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
84042h |
Isogeny class |
Conductor |
84042 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-1143643536 = -1 · 24 · 37 · 72 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 1 -7 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,261,-203] |
[a1,a2,a3,a4,a6] |
Generators |
[2:17:1] [3:23:1] |
Generators of the group modulo torsion |
j |
2691419471/1568784 |
j-invariant |
L |
8.5285846340802 |
L(r)(E,1)/r! |
Ω |
0.91195215578949 |
Real period |
R |
0.58450055329088 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999296 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28014n1 |
Quadratic twists by: -3 |