Atkin-Lehner |
2- 3+ 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320bh |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
84062512978329600 = 224 · 34 · 52 · 114 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-373120,86732800] |
[a1,a2,a3,a4,a6] |
j |
1402524686897642881/20523074457600 |
j-invariant |
L |
1.3688496070017 |
L(r)(E,1)/r! |
Ω |
0.34221240175108 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4290bc2 102960dt2 |
Quadratic twists by: -4 -3 |