Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330p |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2661120 |
Modular degree for the optimal curve |
Δ |
-1.4894586879038E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4013550,3610156500] |
[a1,a2,a3,a4,a6] |
Generators |
[-57948:1333550:27] |
Generators of the group modulo torsion |
j |
-1701366814932001/354418688000 |
j-invariant |
L |
4.0000454692312 |
L(r)(E,1)/r! |
Ω |
0.14461901853847 |
Real period |
R |
2.3049328215088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997665 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6370s1 57330cc1 |
Quadratic twists by: -3 -7 |