Atkin-Lehner |
2- 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
11322m |
Isogeny class |
Conductor |
11322 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-111676393142676 = -1 · 22 · 312 · 175 · 37 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 1 2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12587,747407] |
[a1,a2,a3,a4,a6] |
Generators |
[51:460:1] |
Generators of the group modulo torsion |
j |
-302503589987689/153191211444 |
j-invariant |
L |
7.2367672484649 |
L(r)(E,1)/r! |
Ω |
0.55215205153196 |
Real period |
R |
1.638309417756 |
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 |
90576u1 3774k1 |
Quadratic twists by: -4 -3 |