Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800fp |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
-1306368000000 = -1 · 214 · 36 · 56 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,900,-54000] |
[a1,a2,a3,a4,a6] |
Generators |
[94:928:1] |
Generators of the group modulo torsion |
j |
432/7 |
j-invariant |
L |
5.702588284771 |
L(r)(E,1)/r! |
Ω |
0.41922893735419 |
Real period |
R |
3.4006408978015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800lu1 12600cc1 11200n1 4032g1 |
Quadratic twists by: -4 8 -3 5 |