Atkin-Lehner |
5+ 7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
15295a |
Isogeny class |
Conductor |
15295 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-3278865625 = -1 · 55 · 74 · 19 · 23 |
Discriminant |
Eigenvalues |
1 2 5+ 7- 5 5 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-93,2738] |
[a1,a2,a3,a4,a6] |
j |
-90458382169/3278865625 |
j-invariant |
L |
4.7120091816534 |
L(r)(E,1)/r! |
Ω |
1.1780022954134 |
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 |
76475c1 107065j1 |
Quadratic twists by: 5 -7 |