Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100cm |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
9493972031250000 = 24 · 311 · 510 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-140700,-19765375] |
[a1,a2,a3,a4,a6] |
j |
4927700992/151875 |
j-invariant |
L |
2.9636474219282 |
L(r)(E,1)/r! |
Ω |
0.2469706184994 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14700n1 8820q1 44100cl1 |
Quadratic twists by: -3 5 -7 |