Atkin-Lehner |
2- 3+ 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240bw |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
10356326400 = 216 · 3 · 52 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -6 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2000,34752] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:224:1] |
Generators of the group modulo torsion |
j |
216108018001/2528400 |
j-invariant |
L |
4.1631037401248 |
L(r)(E,1)/r! |
Ω |
1.2901466096977 |
Real period |
R |
0.8067113668681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000593 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030bd1 |
Quadratic twists by: -4 |