Atkin-Lehner |
3+ 23+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
5451a |
Isogeny class |
Conductor |
5451 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1184 |
Modular degree for the optimal curve |
Δ |
-5451 = -1 · 3 · 23 · 79 |
Discriminant |
Eigenvalues |
-2 3+ 1 -4 -5 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-100,420] |
[a1,a2,a3,a4,a6] |
Generators |
[0:20:1] [6:0:1] |
Generators of the group modulo torsion |
j |
-111701610496/5451 |
j-invariant |
L |
2.3313167446706 |
L(r)(E,1)/r! |
Ω |
4.0418962279776 |
Real period |
R |
0.57678787706926 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87216j1 16353c1 125373a1 |
Quadratic twists by: -4 -3 -23 |