Atkin-Lehner |
2+ 3- 5+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
116850bk |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-25309710000000 = -1 · 27 · 32 · 57 · 193 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 1 -1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17126,-897352] |
[a1,a2,a3,a4,a6] |
j |
-35549627253841/1619821440 |
j-invariant |
L |
2.4973831242239 |
L(r)(E,1)/r! |
Ω |
0.20811535553615 |
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 |
23370q1 |
Quadratic twists by: 5 |