Atkin-Lehner |
2- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15730w |
Isogeny class |
Conductor |
15730 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-117736615389250 = -1 · 2 · 53 · 118 · 133 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 11- 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,11674,-190970] |
[a1,a2,a3,a4,a6] |
j |
820803071/549250 |
j-invariant |
L |
1.0064765833836 |
L(r)(E,1)/r! |
Ω |
0.3354921944612 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125840bx2 78650i2 15730e2 |
Quadratic twists by: -4 5 -11 |