Atkin-Lehner |
2- 3+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
80400cf |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-104719392000 = -1 · 28 · 36 · 53 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2988,65772] |
[a1,a2,a3,a4,a6] |
Generators |
[17:140:1] |
Generators of the group modulo torsion |
j |
-92227588112/3272481 |
j-invariant |
L |
6.064032421458 |
L(r)(E,1)/r! |
Ω |
1.0534771622315 |
Real period |
R |
2.8781034082164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998788 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20100k2 80400dp2 |
Quadratic twists by: -4 5 |