Atkin-Lehner |
3+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
5661b |
Isogeny class |
Conductor |
5661 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
120000 |
Modular degree for the optimal curve |
Δ |
-52377262424592291 = -1 · 39 · 175 · 374 |
Discriminant |
Eigenvalues |
2 3+ -3 2 -5 7 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-143559,23655017] |
[a1,a2,a3,a4,a6] |
Generators |
[1314:16979:8] |
Generators of the group modulo torsion |
j |
-16623546901917696/2661040614977 |
j-invariant |
L |
6.6070538850893 |
L(r)(E,1)/r! |
Ω |
0.3423916500301 |
Real period |
R |
0.48241932042651 |
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 |
90576s1 5661a1 96237a1 |
Quadratic twists by: -4 -3 17 |