Atkin-Lehner |
2+ 3+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126b |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-11245345727616 = -1 · 27 · 39 · 74 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 11- 13+ 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-744,-161344] |
[a1,a2,a3,a4,a6] |
Generators |
[121:-1289:1] [590:3107:8] |
Generators of the group modulo torsion |
j |
-964467/237952 |
j-invariant |
L |
10.034699092047 |
L(r)(E,1)/r! |
Ω |
0.32068274349746 |
Real period |
R |
2.6076393003255 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999935075 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126de1 126126y1 |
Quadratic twists by: -3 -7 |