Atkin-Lehner |
2- 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
58300c |
Isogeny class |
Conductor |
58300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
2.1479429747703E+20 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1618133,360669988] |
[a1,a2,a3,a4,a6] |
Generators |
[143031:-10119725:27] |
Generators of the group modulo torsion |
j |
1874246103419846656/859177189908125 |
j-invariant |
L |
4.1889361249421 |
L(r)(E,1)/r! |
Ω |
0.1590151452205 |
Real period |
R |
8.7810003240546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995458 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11660d1 |
Quadratic twists by: 5 |