Atkin-Lehner |
5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5915i |
Isogeny class |
Conductor |
5915 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
32760 |
Modular degree for the optimal curve |
Δ |
-1713748278480875 = -1 · 53 · 75 · 138 |
Discriminant |
Eigenvalues |
-2 0 5- 7+ -3 13+ 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2197,-1992130] |
[a1,a2,a3,a4,a6] |
j |
-1437696/2100875 |
j-invariant |
L |
0.64030997140427 |
L(r)(E,1)/r! |
Ω |
0.21343665713476 |
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 |
94640cq1 53235k1 29575k1 41405j1 |
Quadratic twists by: -4 -3 5 -7 |