Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
9680f |
Isogeny class |
Conductor |
9680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
274379367680 = 28 · 5 · 118 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 11- 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2783,-50578] |
[a1,a2,a3,a4,a6] |
j |
5256144/605 |
j-invariant |
L |
1.3244838756784 |
L(r)(E,1)/r! |
Ω |
0.66224193783921 |
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 |
4840c2 38720dc2 87120ch2 48400j2 |
Quadratic twists by: -4 8 -3 5 |