Atkin-Lehner |
3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
116865w |
Isogeny class |
Conductor |
116865 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8523008274375 = 37 · 54 · 76 · 53 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-374198,-88011178] |
[a1,a2,a3,a4,a6] |
j |
67563360340489/99375 |
j-invariant |
L |
1.5442384935004 |
L(r)(E,1)/r! |
Ω |
0.19302978110354 |
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 |
38955q4 2385i3 |
Quadratic twists by: -3 -7 |