Atkin-Lehner |
2- 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48300bd |
Isogeny class |
Conductor |
48300 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
761040 |
Modular degree for the optimal curve |
Δ |
-446883339918750000 = -1 · 24 · 3 · 58 · 7 · 237 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 -4 8 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,184667,-10012912] |
[a1,a2,a3,a4,a6] |
j |
111431820247040/71501334387 |
j-invariant |
L |
3.5720736008081 |
L(r)(E,1)/r! |
Ω |
0.1700987428927 |
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 |
48300c1 |
Quadratic twists by: 5 |