Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656bc |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-5165400344398930944 = -1 · 210 · 34 · 74 · 1110 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 11- 1 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,229376,100918244] |
[a1,a2,a3,a4,a6] |
j |
50250332/194481 |
j-invariant |
L |
5.5196711234158 |
L(r)(E,1)/r! |
Ω |
0.17248972260603 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20328r1 121968cj1 40656w1 |
Quadratic twists by: -4 -3 -11 |