Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800kq |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
75866112000 = 216 · 33 · 53 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7020,226000] |
[a1,a2,a3,a4,a6] |
Generators |
[1110:2240:27] [-46:672:1] |
Generators of the group modulo torsion |
j |
172974204/343 |
j-invariant |
L |
11.54536385605 |
L(r)(E,1)/r! |
Ω |
1.0900176390937 |
Real period |
R |
0.88265879385582 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000694 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800bs1 25200q1 100800kp1 100800ki1 |
Quadratic twists by: -4 8 -3 5 |