Atkin-Lehner |
3+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15675c |
Isogeny class |
Conductor |
15675 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3888 |
Modular degree for the optimal curve |
Δ |
-102843675 = -1 · 39 · 52 · 11 · 19 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 11+ 3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,70,-405] |
[a1,a2,a3,a4,a6] |
Generators |
[214:3035:1] |
Generators of the group modulo torsion |
j |
1483704815/4113747 |
j-invariant |
L |
5.2282547803962 |
L(r)(E,1)/r! |
Ω |
0.97006329115327 |
Real period |
R |
5.3896017178225 |
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 |
47025bb1 15675x1 |
Quadratic twists by: -3 5 |