Atkin-Lehner |
2- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117740j |
Isogeny class |
Conductor |
117740 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
275184 |
Modular degree for the optimal curve |
Δ |
-133240423904000 = -1 · 28 · 53 · 7 · 296 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -3 -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4485,-565775] |
[a1,a2,a3,a4,a6] |
j |
-65536/875 |
j-invariant |
L |
0.74889199362665 |
L(r)(E,1)/r! |
Ω |
0.24963052949643 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
140a1 |
Quadratic twists by: 29 |