Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800n |
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] |
Generators |
[126:2376:1] |
Generators of the group modulo torsion |
j |
-5400/7 |
j-invariant |
L |
6.6533912016342 |
L(r)(E,1)/r! |
Ω |
0.32521536616707 |
Real period |
R |
2.5573019793358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007152 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800bc1 50400ch1 100800l1 100800cr1 |
Quadratic twists by: -4 8 -3 5 |