Atkin-Lehner |
2+ 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
15150a |
Isogeny class |
Conductor |
15150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-1.717617312E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 0 4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,547725,124390125] |
[a1,a2,a3,a4,a6] |
Generators |
[-30765:2976945:343] |
Generators of the group modulo torsion |
j |
1163027916345872591/1099275079680000 |
j-invariant |
L |
3.2959059359078 |
L(r)(E,1)/r! |
Ω |
0.14363053258944 |
Real period |
R |
5.7367780312578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121200cx1 45450ca1 3030r1 |
Quadratic twists by: -4 -3 5 |