Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800gf |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-8001504000000000 = -1 · 214 · 36 · 59 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -1 1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6000,-4300000] |
[a1,a2,a3,a4,a6] |
Generators |
[104091152525:1435838756875:433798093] |
Generators of the group modulo torsion |
j |
1024/343 |
j-invariant |
L |
6.5151356958347 |
L(r)(E,1)/r! |
Ω |
0.19485601529475 |
Real period |
R |
16.717820299208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800pf1 12600x1 11200bd1 100800hn1 |
Quadratic twists by: -4 8 -3 5 |