Atkin-Lehner |
2+ 3+ 11+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
36894c |
Isogeny class |
Conductor |
36894 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-612933894144 = -1 · 216 · 32 · 11 · 133 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -1 11+ 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1567,-28491] |
[a1,a2,a3,a4,a6] |
Generators |
[17:50:1] [34:-273:1] |
Generators of the group modulo torsion |
j |
425106340192871/612933894144 |
j-invariant |
L |
5.3876796583203 |
L(r)(E,1)/r! |
Ω |
0.4853385784871 |
Real period |
R |
0.92507236135965 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110682by1 |
Quadratic twists by: -3 |