Atkin-Lehner |
2- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
63308o |
Isogeny class |
Conductor |
63308 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-2811438387968 = -1 · 28 · 76 · 173 · 19 |
Discriminant |
Eigenvalues |
2- 1 -2 7- 2 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-785829,-268388905] |
[a1,a2,a3,a4,a6] |
Generators |
[677560718:6500557903:636056] |
Generators of the group modulo torsion |
j |
-1781887227854848/93347 |
j-invariant |
L |
5.9830403943769 |
L(r)(E,1)/r! |
Ω |
0.080174728630083 |
Real period |
R |
12.43750264039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000337 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1292b1 |
Quadratic twists by: -7 |