Atkin-Lehner |
2- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
92450bb |
Isogeny class |
Conductor |
92450 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
22680 |
Modular degree for the optimal curve |
Δ |
-23667200 = -1 · 29 · 52 · 432 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 3 -2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-103,457] |
[a1,a2,a3,a4,a6] |
Generators |
[6:5:1] |
Generators of the group modulo torsion |
j |
-2615905/512 |
j-invariant |
L |
10.463251692152 |
L(r)(E,1)/r! |
Ω |
2.0459505871634 |
Real period |
R |
0.56823636301703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006778 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92450r1 92450c1 |
Quadratic twists by: 5 -43 |