Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800p |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
2204496000000 = 210 · 39 · 56 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -6 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5400,-135000] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:100:1] |
Generators of the group modulo torsion |
j |
55296/7 |
j-invariant |
L |
3.8829679050074 |
L(r)(E,1)/r! |
Ω |
0.56156673269233 |
Real period |
R |
1.728631553814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026245 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800jz1 12600bj1 100800o1 4032d1 |
Quadratic twists by: -4 8 -3 5 |