Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280dq |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
296407714176000000 = 213 · 39 · 56 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 6 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-170667,-7093926] |
[a1,a2,a3,a4,a6] |
j |
57960603/31250 |
j-invariant |
L |
3.001865097413 |
L(r)(E,1)/r! |
Ω |
0.25015542478326 |
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 |
4410z4 35280df2 720f4 |
Quadratic twists by: -4 -3 -7 |