Atkin-Lehner |
2+ 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
79800q |
Isogeny class |
Conductor |
79800 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
665600 |
Modular degree for the optimal curve |
Δ |
-109949238000000000 = -1 · 210 · 310 · 59 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42208,-16312912] |
[a1,a2,a3,a4,a6] |
Generators |
[1172:39312:1] |
Generators of the group modulo torsion |
j |
-4158036788/54974619 |
j-invariant |
L |
8.2313611554062 |
L(r)(E,1)/r! |
Ω |
0.14260931143982 |
Real period |
R |
2.8859830649528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001225 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79800bn1 |
Quadratic twists by: 5 |