Atkin-Lehner |
2- 5+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
79300c |
Isogeny class |
Conductor |
79300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
73123347781250000 = 24 · 59 · 132 · 614 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 -4 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-145033,-16861812] |
[a1,a2,a3,a4,a6] |
Generators |
[524452:47426275:64] |
Generators of the group modulo torsion |
j |
1349544436547584/292493391125 |
j-invariant |
L |
4.4303633279501 |
L(r)(E,1)/r! |
Ω |
0.24840978892363 |
Real period |
R |
8.9174491642968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15860a1 |
Quadratic twists by: 5 |