Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680by |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-266051174400000000 = -1 · 220 · 310 · 58 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11- 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,67668,-23873744] |
[a1,a2,a3,a4,a6] |
j |
179310732119/1392187500 |
j-invariant |
L |
2.4644116144575 |
L(r)(E,1)/r! |
Ω |
0.15402572590393 |
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 |
31680dn3 990j4 10560s4 |
Quadratic twists by: -4 8 -3 |