Atkin-Lehner |
2+ 7+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
12782a |
Isogeny class |
Conductor |
12782 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1104 |
Modular degree for the optimal curve |
Δ |
-51128 = -1 · 23 · 7 · 11 · 83 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ 11+ 3 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-43,-99] |
[a1,a2,a3,a4,a6] |
Generators |
[9:9:1] |
Generators of the group modulo torsion |
j |
-8908363017/51128 |
j-invariant |
L |
2.3546682326075 |
L(r)(E,1)/r! |
Ω |
0.93085284353597 |
Real period |
R |
2.5295816078329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102256j1 115038bc1 89474d1 |
Quadratic twists by: -4 -3 -7 |