Atkin-Lehner |
3+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
40401c |
Isogeny class |
Conductor |
40401 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7992630097347364803 = -1 · 39 · 678 |
Discriminant |
Eigenvalues |
1 3+ -2 -4 4 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,477237,-49096684] |
[a1,a2,a3,a4,a6] |
j |
6751269/4489 |
j-invariant |
L |
0.26578368583104 |
L(r)(E,1)/r! |
Ω |
0.13289184294676 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40401d2 603b2 |
Quadratic twists by: -3 -67 |