Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800bc |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-44089920000000000 = -1 · 215 · 39 · 510 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67500,-12150000] |
[a1,a2,a3,a4,a6] |
j |
-5400/7 |
j-invariant |
L |
4.5202769784658 |
L(r)(E,1)/r! |
Ω |
0.1412586550112 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800n1 50400l1 100800bj1 100800by1 |
Quadratic twists by: -4 8 -3 5 |