Atkin-Lehner |
3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5415k |
Isogeny class |
Conductor |
5415 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-165395675390625 = -1 · 32 · 58 · 196 |
Discriminant |
Eigenvalues |
1 3- 5- 0 -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,12627,291853] |
[a1,a2,a3,a4,a6] |
j |
4733169839/3515625 |
j-invariant |
L |
2.9296246466043 |
L(r)(E,1)/r! |
Ω |
0.36620308082554 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86640cm5 16245d6 27075g5 15a4 |
Quadratic twists by: -4 -3 5 -19 |