Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
15246l |
Isogeny class |
Conductor |
15246 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-4773265613424 = -1 · 24 · 37 · 7 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3789,-55643] |
[a1,a2,a3,a4,a6] |
Generators |
[239:3683:1] |
Generators of the group modulo torsion |
j |
4657463/3696 |
j-invariant |
L |
3.8599595177351 |
L(r)(E,1)/r! |
Ω |
0.42845775901409 |
Real period |
R |
4.5044808228204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121968fu1 5082r1 106722dn1 1386l1 |
Quadratic twists by: -4 -3 -7 -11 |