Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800oa |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
413343000000 = 26 · 310 · 56 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2775,-47000] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:76:1] [60:50:1] |
Generators of the group modulo torsion |
j |
3241792/567 |
j-invariant |
L |
11.171899077932 |
L(r)(E,1)/r! |
Ω |
0.66565808614508 |
Real period |
R |
8.3916197451272 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995834 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800ma1 50400dv3 33600gv1 4032be1 |
Quadratic twists by: -4 8 -3 5 |