Atkin-Lehner |
3+ 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
15111b |
Isogeny class |
Conductor |
15111 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-760098411 = -1 · 39 · 232 · 73 |
Discriminant |
Eigenvalues |
0 3+ 1 2 -4 4 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-162,-1546] |
[a1,a2,a3,a4,a6] |
j |
-23887872/38617 |
j-invariant |
L |
2.5342303792236 |
L(r)(E,1)/r! |
Ω |
0.6335575948059 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15111a1 |
Quadratic twists by: -3 |