Atkin-Lehner |
2- 3+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106782m |
Isogeny class |
Conductor |
106782 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
671328 |
Modular degree for the optimal curve |
Δ |
-17534297433973632 = -1 · 27 · 3 · 13 · 378 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 0 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-89698,-12182545] |
[a1,a2,a3,a4,a6] |
Generators |
[73972:2383051:64] |
Generators of the group modulo torsion |
j |
-22722625/4992 |
j-invariant |
L |
9.5139813228431 |
L(r)(E,1)/r! |
Ω |
0.13633625797501 |
Real period |
R |
9.9690295557648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027241 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106782a1 |
Quadratic twists by: 37 |