Atkin-Lehner |
2- 3- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
101232w |
Isogeny class |
Conductor |
101232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-11899441589649408 = -1 · 217 · 317 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -6 -2 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18789,5153866] |
[a1,a2,a3,a4,a6] |
Generators |
[215:4374:1] |
Generators of the group modulo torsion |
j |
245667233447/3985098912 |
j-invariant |
L |
2.6929491627793 |
L(r)(E,1)/r! |
Ω |
0.29877134413793 |
Real period |
R |
1.1266764808619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999629168 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12654m1 33744l1 |
Quadratic twists by: -4 -3 |