Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40656bp |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-1055114919936 = -1 · 222 · 33 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ -6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1184,-51456] |
[a1,a2,a3,a4,a6] |
Generators |
[49:76:1] |
Generators of the group modulo torsion |
j |
-33698267/193536 |
j-invariant |
L |
3.160085295563 |
L(r)(E,1)/r! |
Ω |
0.36481835860111 |
Real period |
R |
4.3310392981295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5082y1 121968fe1 40656be1 |
Quadratic twists by: -4 -3 -11 |