Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330dm |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
1280 |
Product of Tamagawa factors cp |
deg |
5529600 |
Modular degree for the optimal curve |
Δ |
-3.5217315014256E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7411363,4603730149] |
[a1,a2,a3,a4,a6] |
Generators |
[487:91016:1] |
Generators of the group modulo torsion |
j |
19441890357117957/15208161280000 |
j-invariant |
L |
11.462551322649 |
L(r)(E,1)/r! |
Ω |
0.07456928450863 |
Real period |
R |
0.4803649802914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999851 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330h1 1170h1 |
Quadratic twists by: -3 -7 |