Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15162x |
Isogeny class |
Conductor |
15162 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-58949856 = -1 · 25 · 36 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -6 -5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,78,-225] |
[a1,a2,a3,a4,a6] |
Generators |
[3:5:1] [7:23:1] |
Generators of the group modulo torsion |
j |
145262087/163296 |
j-invariant |
L |
7.2764977021409 |
L(r)(E,1)/r! |
Ω |
1.0660651738901 |
Real period |
R |
0.68255655285964 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121296cv1 45486u1 106134dd1 15162o1 |
Quadratic twists by: -4 -3 -7 -19 |