Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800hk |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
4572288000 = 210 · 36 · 53 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2880,59400] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:280:1] [-15:315:1] |
Generators of the group modulo torsion |
j |
28311552/49 |
j-invariant |
L |
11.737265331548 |
L(r)(E,1)/r! |
Ω |
1.3760871455896 |
Real period |
R |
2.1323622870603 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997387 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800oi1 6300z1 11200bl1 100800gd1 |
Quadratic twists by: -4 8 -3 5 |