Atkin-Lehner |
11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
4477b |
Isogeny class |
Conductor |
4477 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
900 |
Modular degree for the optimal curve |
Δ |
65547757 = 116 · 37 |
Discriminant |
Eigenvalues |
0 1 0 1 11- 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-403,-3228] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:1:8] |
Generators of the group modulo torsion |
j |
4096000/37 |
j-invariant |
L |
3.6567908953403 |
L(r)(E,1)/r! |
Ω |
1.0659093397444 |
Real period |
R |
3.4306772245914 |
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 |
71632p1 40293j1 111925d1 37b3 |
Quadratic twists by: -4 -3 5 -11 |