Atkin-Lehner |
3+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
109551a |
Isogeny class |
Conductor |
109551 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-12817467 = -1 · 33 · 132 · 532 |
Discriminant |
Eigenvalues |
1 3+ 2 -1 2 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1489,-22748] |
[a1,a2,a3,a4,a6] |
Generators |
[356146:3694237:2744] |
Generators of the group modulo torsion |
j |
-130110312097/4563 |
j-invariant |
L |
6.9338654133749 |
L(r)(E,1)/r! |
Ω |
0.38424391597394 |
Real period |
R |
9.0227393137363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057588 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109551i1 |
Quadratic twists by: 53 |