Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800fg |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-11430720000000000 = -1 · 215 · 36 · 510 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 3 2 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7500,-5150000] |
[a1,a2,a3,a4,a6] |
Generators |
[786:21784:1] |
Generators of the group modulo torsion |
j |
-200/49 |
j-invariant |
L |
7.55385599253 |
L(r)(E,1)/r! |
Ω |
0.18007650292642 |
Real period |
R |
5.2435047552645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800dt1 50400dt1 11200u1 100800gx1 |
Quadratic twists by: -4 8 -3 5 |