Atkin-Lehner |
2+ 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40368n |
Isogeny class |
Conductor |
40368 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-7451946565488 = -1 · 24 · 33 · 297 |
Discriminant |
Eigenvalues |
2+ 3- -2 1 -3 -7 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3644,-157485] |
[a1,a2,a3,a4,a6] |
Generators |
[193:2523:1] [1585:63075:1] |
Generators of the group modulo torsion |
j |
-562432/783 |
j-invariant |
L |
9.4108753617977 |
L(r)(E,1)/r! |
Ω |
0.29237669440724 |
Real period |
R |
2.6822918121883 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20184a1 121104m1 1392a1 |
Quadratic twists by: -4 -3 29 |