Atkin-Lehner |
7- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
46207d |
Isogeny class |
Conductor |
46207 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
53280 |
Modular degree for the optimal curve |
Δ |
-1786501241 = -1 · 72 · 232 · 413 |
Discriminant |
Eigenvalues |
-1 -3 1 7- -5 -6 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1182,16062] |
[a1,a2,a3,a4,a6] |
Generators |
[66:-505:1] |
Generators of the group modulo torsion |
j |
-3724221961089/36459209 |
j-invariant |
L |
1.0171539319283 |
L(r)(E,1)/r! |
Ω |
1.4948564095858 |
Real period |
R |
0.11340597948539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000135 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46207a1 |
Quadratic twists by: -7 |