Atkin-Lehner |
2+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
12350d |
Isogeny class |
Conductor |
12350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-16055000000 = -1 · 26 · 57 · 132 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 4 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-817,-10659] |
[a1,a2,a3,a4,a6] |
j |
-3862503009/1027520 |
j-invariant |
L |
0.88069584533451 |
L(r)(E,1)/r! |
Ω |
0.44034792266726 |
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 |
98800bf1 111150ek1 2470d1 |
Quadratic twists by: -4 -3 5 |