Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280et |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
607614210000 = 24 · 311 · 54 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5628,158123] |
[a1,a2,a3,a4,a6] |
j |
4927700992/151875 |
j-invariant |
L |
1.8218177767448 |
L(r)(E,1)/r! |
Ω |
0.91090888837189 |
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 |
8820q1 11760bz1 35280fw1 |
Quadratic twists by: -4 -3 -7 |