Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
14700bm |
Isogeny class |
Conductor |
14700 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
1532176015781250000 = 24 · 35 · 510 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-766033,-251348812] |
[a1,a2,a3,a4,a6] |
j |
4927700992/151875 |
j-invariant |
L |
1.6168022195765 |
L(r)(E,1)/r! |
Ω |
0.16168022195765 |
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 |
58800gd1 44100cl1 2940c1 14700n1 |
Quadratic twists by: -4 -3 5 -7 |