Atkin-Lehner |
2- 3- 5+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
91650dj |
Isogeny class |
Conductor |
91650 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-42110608800 = -1 · 25 · 3 · 52 · 132 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -3 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-193,-9943] |
[a1,a2,a3,a4,a6] |
Generators |
[238:3547:1] |
Generators of the group modulo torsion |
j |
-31812387385/1684424352 |
j-invariant |
L |
12.785499944444 |
L(r)(E,1)/r! |
Ω |
0.50178206395536 |
Real period |
R |
0.8493395079228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004626 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91650s1 |
Quadratic twists by: 5 |