Atkin-Lehner |
2- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6650bg |
Isogeny class |
Conductor |
6650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24000 |
Modular degree for the optimal curve |
Δ |
-375101562500 = -1 · 22 · 59 · 7 · 193 |
Discriminant |
Eigenvalues |
2- -3 5- 7- -6 -2 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5805,-171303] |
[a1,a2,a3,a4,a6] |
j |
-11074654989/192052 |
j-invariant |
L |
1.0927928336442 |
L(r)(E,1)/r! |
Ω |
0.27319820841106 |
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 |
53200dp1 59850dh1 6650k1 46550dk1 |
Quadratic twists by: -4 -3 5 -7 |