Atkin-Lehner |
5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
11515b |
Isogeny class |
Conductor |
11515 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-1354728235 = -1 · 5 · 78 · 47 |
Discriminant |
Eigenvalues |
0 2 5+ 7- 4 1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-261,2491] |
[a1,a2,a3,a4,a6] |
j |
-16777216/11515 |
j-invariant |
L |
2.8080039637006 |
L(r)(E,1)/r! |
Ω |
1.4040019818503 |
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 |
103635bk1 57575f1 1645b1 |
Quadratic twists by: -3 5 -7 |