Atkin-Lehner |
2- 3- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
119280by |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-302990284800000000 = -1 · 217 · 35 · 58 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 0 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-466376,125261940] |
[a1,a2,a3,a4,a6] |
Generators |
[292:-3750:1] |
Generators of the group modulo torsion |
j |
-2738881705631423689/73972237500000 |
j-invariant |
L |
7.4620656384683 |
L(r)(E,1)/r! |
Ω |
0.30594839951628 |
Real period |
R |
1.2194974096868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032578 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910b1 |
Quadratic twists by: -4 |