Atkin-Lehner |
2+ 3+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
44520c |
Isogeny class |
Conductor |
44520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-4452836976000000 = -1 · 210 · 37 · 56 · 74 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,22304,2935996] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:574:1] |
Generators of the group modulo torsion |
j |
1198264113664124/4348473609375 |
j-invariant |
L |
4.8827638890088 |
L(r)(E,1)/r! |
Ω |
0.30975043924157 |
Real period |
R |
3.9408853632095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999785 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89040k1 |
Quadratic twists by: -4 |