Atkin-Lehner |
2- 3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
9660c |
Isogeny class |
Conductor |
9660 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5280 |
Modular degree for the optimal curve |
Δ |
-250387200 = -1 · 28 · 35 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -1 4 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1125,-14175] |
[a1,a2,a3,a4,a6] |
j |
-615640662016/978075 |
j-invariant |
L |
2.4726301303567 |
L(r)(E,1)/r! |
Ω |
0.41210502172612 |
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 |
38640cw1 28980d1 48300r1 67620bb1 |
Quadratic twists by: -4 -3 5 -7 |