Atkin-Lehner |
2- 3- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37518q |
Isogeny class |
Conductor |
37518 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
344448 |
Modular degree for the optimal curve |
Δ |
-7436914201286154 = -1 · 2 · 36 · 1310 · 37 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 -3 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,27966,-3735954] |
[a1,a2,a3,a4,a6] |
Generators |
[184980:9868629:64] |
Generators of the group modulo torsion |
j |
17546087/53946 |
j-invariant |
L |
11.944534843872 |
L(r)(E,1)/r! |
Ω |
0.21383233427013 |
Real period |
R |
9.3098913880675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112554d1 37518h1 |
Quadratic twists by: -3 13 |