Atkin-Lehner |
3- 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
30225bf |
Isogeny class |
Conductor |
30225 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-915699816091125 = -1 · 39 · 53 · 13 · 315 |
Discriminant |
Eigenvalues |
1 3- 5- 2 -1 13- 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2821,-1457287] |
[a1,a2,a3,a4,a6] |
j |
-19851879705533/7325598528729 |
j-invariant |
L |
4.0138121050658 |
L(r)(E,1)/r! |
Ω |
0.22298956139249 |
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 |
90675bz1 30225m1 |
Quadratic twists by: -3 5 |