Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330eu |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2177280 |
Modular degree for the optimal curve |
Δ |
-2.5085571515683E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1544593,186033719] |
[a1,a2,a3,a4,a6] |
Generators |
[129:19618:1] |
Generators of the group modulo torsion |
j |
96973777690391/59691453120 |
j-invariant |
L |
11.080751420148 |
L(r)(E,1)/r! |
Ω |
0.10815867820319 |
Real period |
R |
1.4229031626107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19110t1 57330dx1 |
Quadratic twists by: -3 -7 |