Atkin-Lehner |
3+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15675d |
Isogeny class |
Conductor |
15675 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5040 |
Modular degree for the optimal curve |
Δ |
1269675 = 35 · 52 · 11 · 19 |
Discriminant |
Eigenvalues |
1 3+ 5+ -3 11+ -7 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-380,-3015] |
[a1,a2,a3,a4,a6] |
Generators |
[-312:157:27] |
Generators of the group modulo torsion |
j |
243735630385/50787 |
j-invariant |
L |
3.5193921146326 |
L(r)(E,1)/r! |
Ω |
1.0809618708909 |
Real period |
R |
3.2557967208704 |
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 |
47025bd1 15675y1 |
Quadratic twists by: -3 5 |