Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800li |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-313658956800 = -1 · 210 · 36 · 52 · 75 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -1 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1020,-29720] |
[a1,a2,a3,a4,a6] |
Generators |
[232193:2243691:2197] |
Generators of the group modulo torsion |
j |
-6288640/16807 |
j-invariant |
L |
6.9719342741814 |
L(r)(E,1)/r! |
Ω |
0.39236260652496 |
Real period |
R |
8.8845549503944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969585 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800eo1 25200x1 11200cd1 100800pk1 |
Quadratic twists by: -4 8 -3 5 |