Atkin-Lehner |
3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
40401m |
Isogeny class |
Conductor |
40401 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2154240 |
Modular degree for the optimal curve |
Δ |
-1073636878748153481 = -1 · 311 · 677 |
Discriminant |
Eigenvalues |
1 3- -3 3 0 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32099436,70007426901] |
[a1,a2,a3,a4,a6] |
Generators |
[3684:39891:1] |
Generators of the group modulo torsion |
j |
-55467626237353/16281 |
j-invariant |
L |
5.2095732755628 |
L(r)(E,1)/r! |
Ω |
0.22157021956487 |
Real period |
R |
5.8780161045494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13467j1 603c1 |
Quadratic twists by: -3 -67 |