Atkin-Lehner |
2- 5- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
37720m |
Isogeny class |
Conductor |
37720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
555238400 = 210 · 52 · 232 · 41 |
Discriminant |
Eigenvalues |
2- 2 5- -2 4 4 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-280,1500] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:48:1] |
Generators of the group modulo torsion |
j |
2379293284/542225 |
j-invariant |
L |
9.1746489284762 |
L(r)(E,1)/r! |
Ω |
1.5448208407341 |
Real period |
R |
2.9694863917417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75440m1 |
Quadratic twists by: -4 |