Atkin-Lehner |
3+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15675q |
Isogeny class |
Conductor |
15675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
-12370551447375 = -1 · 316 · 53 · 112 · 19 |
Discriminant |
Eigenvalues |
1 3+ 5- 2 11- 2 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10695,-462600] |
[a1,a2,a3,a4,a6] |
j |
-1082479082962733/98964411579 |
j-invariant |
L |
1.8681156307386 |
L(r)(E,1)/r! |
Ω |
0.23351445384233 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47025bo1 15675bc1 |
Quadratic twists by: -3 5 |