Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330et |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-1538189125200 = -1 · 24 · 36 · 52 · 74 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 13- 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3317,-93859] |
[a1,a2,a3,a4,a6] |
Generators |
[261:3964:1] |
Generators of the group modulo torsion |
j |
-2305248169/878800 |
j-invariant |
L |
11.509201544216 |
L(r)(E,1)/r! |
Ω |
0.30870461409639 |
Real period |
R |
0.2589044901683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998115 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6370a1 57330dy1 |
Quadratic twists by: -3 -7 |