Atkin-Lehner |
3+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15675o |
Isogeny class |
Conductor |
15675 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
18000 |
Modular degree for the optimal curve |
Δ |
-51069541875 = -1 · 3 · 54 · 11 · 195 |
Discriminant |
Eigenvalues |
2 3+ 5- 2 11- 6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,242,-10857] |
[a1,a2,a3,a4,a6] |
Generators |
[1386:18241:8] |
Generators of the group modulo torsion |
j |
2497433600/81711267 |
j-invariant |
L |
9.0160089325875 |
L(r)(E,1)/r! |
Ω |
0.54219056050382 |
Real period |
R |
5.54295210907 |
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 |
47025bi1 15675t2 |
Quadratic twists by: -3 5 |