Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800pa |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-5878656000 = -1 · 210 · 38 · 53 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,240,-3400] |
[a1,a2,a3,a4,a6] |
Generators |
[14:52:1] [25:135:1] |
Generators of the group modulo torsion |
j |
16384/63 |
j-invariant |
L |
10.800919692343 |
L(r)(E,1)/r! |
Ω |
0.68387448114528 |
Real period |
R |
3.948429131043 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990919 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800ih1 25200ff1 33600fp1 100800pw1 |
Quadratic twists by: -4 8 -3 5 |