Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656bw |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
-6.5035430856678E+20 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11- 3 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2230312,1775296624] |
[a1,a2,a3,a4,a6] |
j |
-1397395501513/740710656 |
j-invariant |
L |
1.2042930503852 |
L(r)(E,1)/r! |
Ω |
0.15053663130446 |
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 |
5082k1 121968gc1 40656bn1 |
Quadratic twists by: -4 -3 -11 |