Atkin-Lehner |
5+ 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
10465a |
Isogeny class |
Conductor |
10465 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
84240 |
Modular degree for the optimal curve |
Δ |
-261434048604990625 = -1 · 55 · 73 · 139 · 23 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ 2 13+ -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25828,24658512] |
[a1,a2,a3,a4,a6] |
j |
-1905374204380617489/261434048604990625 |
j-invariant |
L |
0.25436735629864 |
L(r)(E,1)/r! |
Ω |
0.25436735629864 |
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 |
94185t1 52325l1 73255r1 |
Quadratic twists by: -3 5 -7 |