Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15162n |
Isogeny class |
Conductor |
15162 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
2317392 |
Modular degree for the optimal curve |
Δ |
-8.8332506524992E+22 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -5 -6 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19533718,36174075560] |
[a1,a2,a3,a4,a6] |
Generators |
[11221:1103381:1] |
Generators of the group modulo torsion |
j |
-48534394252061881/5201058594816 |
j-invariant |
L |
4.3949621522566 |
L(r)(E,1)/r! |
Ω |
0.10469921339547 |
Real period |
R |
0.63601562495727 |
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 |
121296bs1 45486bl1 106134e1 15162v1 |
Quadratic twists by: -4 -3 -7 -19 |