Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800jn |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
6193152000000000 = 224 · 33 · 59 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-74700,-6886000] |
[a1,a2,a3,a4,a6] |
Generators |
[34662:1211392:27] |
Generators of the group modulo torsion |
j |
416832723/56000 |
j-invariant |
L |
7.3990793614009 |
L(r)(E,1)/r! |
Ω |
0.29134855500029 |
Real period |
R |
6.3489926698505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001523 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800c1 25200cx1 100800jo3 20160cr1 |
Quadratic twists by: -4 8 -3 5 |