Atkin-Lehner |
2- 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
4588c |
Isogeny class |
Conductor |
4588 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
9102592 = 28 · 312 · 37 |
Discriminant |
Eigenvalues |
2- 1 0 1 3 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-333,-2449] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:2:1] |
Generators of the group modulo torsion |
j |
16000000000/35557 |
j-invariant |
L |
4.451521244264 |
L(r)(E,1)/r! |
Ω |
1.1174751089444 |
Real period |
R |
0.66392548830746 |
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 |
18352m1 73408b1 41292b1 114700b1 |
Quadratic twists by: -4 8 -3 5 |