Atkin-Lehner |
2- 3+ 5- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
15510l |
Isogeny class |
Conductor |
15510 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12160 |
Modular degree for the optimal curve |
Δ |
110555280 = 24 · 35 · 5 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1175,15005] |
[a1,a2,a3,a4,a6] |
j |
179415687049201/110555280 |
j-invariant |
L |
3.7116529245872 |
L(r)(E,1)/r! |
Ω |
1.8558264622936 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124080ck1 46530j1 77550o1 |
Quadratic twists by: -4 -3 5 |