Atkin-Lehner |
2- 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
36946p |
Isogeny class |
Conductor |
36946 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-121706478712 = -1 · 23 · 79 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 2 0 7- 0 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,342,-16465] |
[a1,a2,a3,a4,a6] |
Generators |
[561:49:27] |
Generators of the group modulo torsion |
j |
37595375/1034488 |
j-invariant |
L |
12.40870526373 |
L(r)(E,1)/r! |
Ω |
0.50581009087379 |
Real period |
R |
2.0443616895644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5278g1 |
Quadratic twists by: -7 |