Atkin-Lehner |
2+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51376a |
Isogeny class |
Conductor |
51376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
938496 |
Modular degree for the optimal curve |
Δ |
-1.8397037072644E+19 |
Discriminant |
Eigenvalues |
2+ 0 1 -4 0 13+ -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3056027,-2066616838] |
[a1,a2,a3,a4,a6] |
Generators |
[2082093779939:58078175985842:865523177] |
Generators of the group modulo torsion |
j |
-22359484836/130321 |
j-invariant |
L |
4.1589755141583 |
L(r)(E,1)/r! |
Ω |
0.057072769018743 |
Real period |
R |
18.217862851514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25688g1 51376d1 |
Quadratic twists by: -4 13 |