Atkin-Lehner |
5- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
43225i |
Isogeny class |
Conductor |
43225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30400 |
Modular degree for the optimal curve |
Δ |
-64162109375 = -1 · 59 · 7 · 13 · 192 |
Discriminant |
Eigenvalues |
-1 0 5- 7- -2 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-555,13322] |
[a1,a2,a3,a4,a6] |
Generators |
[18:85:1] |
Generators of the group modulo torsion |
j |
-9663597/32851 |
j-invariant |
L |
3.4760819255975 |
L(r)(E,1)/r! |
Ω |
0.96761310051026 |
Real period |
R |
3.5924295813694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43225e1 |
Quadratic twists by: 5 |