Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800lz |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
786432 |
Modular degree for the optimal curve |
Δ |
-48157949952000000 = -1 · 226 · 38 · 56 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57900,11842000] |
[a1,a2,a3,a4,a6] |
Generators |
[8770:284625:8] |
Generators of the group modulo torsion |
j |
-7189057/16128 |
j-invariant |
L |
7.3282829273022 |
L(r)(E,1)/r! |
Ω |
0.3172634949825 |
Real period |
R |
5.7746030057625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000442 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800fu1 25200eb1 33600gi1 4032bl1 |
Quadratic twists by: -4 8 -3 5 |