Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640bo |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-2946460255200000 = -1 · 28 · 33 · 55 · 7 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -4 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-114385,-15155725] |
[a1,a2,a3,a4,a6] |
Generators |
[755:-18150:1] |
Generators of the group modulo torsion |
j |
-364954448896/6496875 |
j-invariant |
L |
10.275058167995 |
L(r)(E,1)/r! |
Ω |
0.12966364871932 |
Real period |
R |
0.33018307584823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001587 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9240bi1 |
Quadratic twists by: -11 |