Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800ji |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-10146860236800 = -1 · 231 · 33 · 52 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -3 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2580,144720] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:72:1] [154:2048:1] |
Generators of the group modulo torsion |
j |
10733445/57344 |
j-invariant |
L |
10.589882056584 |
L(r)(E,1)/r! |
Ω |
0.52181581388171 |
Real period |
R |
2.5367863946935 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991085 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800bb1 25200cp1 100800jb1 100800ku1 |
Quadratic twists by: -4 8 -3 5 |