Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
106134s |
Isogeny class |
Conductor |
106134 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
427680 |
Modular degree for the optimal curve |
Δ |
-13375398102192 = -1 · 24 · 39 · 76 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 2 -7 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4287,-137115] |
[a1,a2,a3,a4,a6] |
Generators |
[2570:129075:1] |
Generators of the group modulo torsion |
j |
205083359/314928 |
j-invariant |
L |
5.3646144123283 |
L(r)(E,1)/r! |
Ω |
0.37401855786223 |
Real period |
R |
7.1715885091743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053616 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2166e1 106134co1 |
Quadratic twists by: -7 -19 |