Atkin-Lehner |
5+ 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
15295b |
Isogeny class |
Conductor |
15295 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
480406390625 = 56 · 7 · 192 · 233 |
Discriminant |
Eigenvalues |
-1 2 5+ 7- -2 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2566,-38366] |
[a1,a2,a3,a4,a6] |
j |
1868547946835809/480406390625 |
j-invariant |
L |
2.0505832562974 |
L(r)(E,1)/r! |
Ω |
0.68352775209912 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76475d1 107065h1 |
Quadratic twists by: 5 -7 |