Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
35280y |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-33606316800 = -1 · 28 · 37 · 52 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -5 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,-10388] |
[a1,a2,a3,a4,a6] |
j |
-50176/75 |
j-invariant |
L |
1.8409495652315 |
L(r)(E,1)/r! |
Ω |
0.46023739130796 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17640m1 11760bc1 35280co1 |
Quadratic twists by: -4 -3 -7 |