Atkin-Lehner |
3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
40401n |
Isogeny class |
Conductor |
40401 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
430848 |
Modular degree for the optimal curve |
Δ |
-119292986527572609 = -1 · 39 · 677 |
Discriminant |
Eigenvalues |
-1 3- -1 5 -4 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-41243,16937628] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:4547:1] |
Generators of the group modulo torsion |
j |
-117649/1809 |
j-invariant |
L |
3.6762728379634 |
L(r)(E,1)/r! |
Ω |
0.2802394200004 |
Real period |
R |
0.81989554636011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999932 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13467d1 603e1 |
Quadratic twists by: -3 -67 |