Atkin-Lehner |
3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
4425d |
Isogeny class |
Conductor |
4425 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-50403515625 = -1 · 37 · 58 · 59 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 2 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3075,65250] |
[a1,a2,a3,a4,a6] |
Generators |
[26:48:1] |
Generators of the group modulo torsion |
j |
-8236063705/129033 |
j-invariant |
L |
3.7651891984586 |
L(r)(E,1)/r! |
Ω |
1.1290140881836 |
Real period |
R |
3.3349355316868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70800cw1 13275x1 4425i1 |
Quadratic twists by: -4 -3 5 |