Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
88200dc |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
-36294822144000 = -1 · 211 · 310 · 53 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 1 -1 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21315,1232350] |
[a1,a2,a3,a4,a6] |
Generators |
[50:540:1] |
Generators of the group modulo torsion |
j |
-2390122/81 |
j-invariant |
L |
7.022725058531 |
L(r)(E,1)/r! |
Ω |
0.6475017588796 |
Real period |
R |
2.71146948774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012375 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400eh1 88200hr1 88200dm1 |
Quadratic twists by: -3 5 -7 |