Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800jz |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
2204496000000 = 210 · 39 · 56 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5400,135000] |
[a1,a2,a3,a4,a6] |
Generators |
[25:125:1] |
Generators of the group modulo torsion |
j |
55296/7 |
j-invariant |
L |
7.6709753237454 |
L(r)(E,1)/r! |
Ω |
0.79291803842017 |
Real period |
R |
2.4185902390184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800p1 25200n1 100800ka1 4032u1 |
Quadratic twists by: -4 8 -3 5 |