Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800mt |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
45927000000 = 26 · 38 · 56 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18975,-1006000] |
[a1,a2,a3,a4,a6] |
j |
1036433728/63 |
j-invariant |
L |
3.2542106942099 |
L(r)(E,1)/r! |
Ω |
0.40677634760518 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800ky1 50400dm4 33600ew1 4032bc1 |
Quadratic twists by: -4 8 -3 5 |