Atkin-Lehner |
2- 3- 101- |
Signs for the Atkin-Lehner involutions |
Class |
1212a |
Isogeny class |
Conductor |
1212 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
232704 = 28 · 32 · 101 |
Discriminant |
Eigenvalues |
2- 3- 1 4 2 1 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-165,-873] |
[a1,a2,a3,a4,a6] |
j |
1952382976/909 |
j-invariant |
L |
2.6628799061636 |
L(r)(E,1)/r! |
Ω |
1.3314399530818 |
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 |
4848l1 19392e1 3636b1 30300b1 |
Quadratic twists by: -4 8 -3 5 |