Atkin-Lehner |
3+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
3975g |
Isogeny class |
Conductor |
3975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
176 |
Modular degree for the optimal curve |
Δ |
-19875 = -1 · 3 · 53 · 53 |
Discriminant |
Eigenvalues |
0 3+ 5- -2 -2 2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3,8] |
[a1,a2,a3,a4,a6] |
Generators |
[2:2:1] |
Generators of the group modulo torsion |
j |
-32768/159 |
j-invariant |
L |
2.2529172030507 |
L(r)(E,1)/r! |
Ω |
3.341015920264 |
Real period |
R |
0.33716050100005 |
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 |
63600dp1 11925u1 3975k1 |
Quadratic twists by: -4 -3 5 |