Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656by |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1555200 |
Modular degree for the optimal curve |
Δ |
-1.2480605093498E+19 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11- 7 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2086322,1172982219] |
[a1,a2,a3,a4,a6] |
j |
-35431687725461248/440311012911 |
j-invariant |
L |
2.2584801076396 |
L(r)(E,1)/r! |
Ω |
0.22584801077121 |
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 |
10164t1 121968gf1 3696m1 |
Quadratic twists by: -4 -3 -11 |