Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200cz |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
67092480000000 = 220 · 32 · 57 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2236416008,-40706995465488] |
[a1,a2,a3,a4,a6] |
j |
19328649688935739391016961/1048320 |
j-invariant |
L |
0.35126214687769 |
L(r)(E,1)/r! |
Ω |
0.021953886095615 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650bd4 21840cl4 |
Quadratic twists by: -4 5 |