Atkin-Lehner |
3- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
108225bd |
Isogeny class |
Conductor |
108225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
-26298675 = -1 · 37 · 52 · 13 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 1 13- -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-522,-4469] |
[a1,a2,a3,a4,a6] |
j |
-864043465/1443 |
j-invariant |
L |
1.997236519681 |
L(r)(E,1)/r! |
Ω |
0.49930908630885 |
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 |
36075h1 108225bf1 |
Quadratic twists by: -3 5 |