Atkin-Lehner |
2+ 5+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
15130a |
Isogeny class |
Conductor |
15130 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
365568 |
Modular degree for the optimal curve |
Δ |
1.37487593024E+19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 4 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-933905,298303325] |
[a1,a2,a3,a4,a6] |
j |
90080767006918957599849/13748759302400000000 |
j-invariant |
L |
1.2831904666152 |
L(r)(E,1)/r! |
Ω |
0.2138650777692 |
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 |
121040o1 75650r1 |
Quadratic twists by: -4 5 |