Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800pd |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-180592312320000 = -1 · 221 · 39 · 54 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14100,-52400] |
[a1,a2,a3,a4,a6] |
Generators |
[5:135:1] [26:576:1] |
Generators of the group modulo torsion |
j |
2595575/1512 |
j-invariant |
L |
10.710002717367 |
L(r)(E,1)/r! |
Ω |
0.33649549426708 |
Real period |
R |
0.66308482705178 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996422 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800il1 25200fh1 33600hd1 100800of1 |
Quadratic twists by: -4 8 -3 5 |