Atkin-Lehner |
2- 7+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
77714i |
Isogeny class |
Conductor |
77714 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
174960 |
Modular degree for the optimal curve |
Δ |
164748706304 = 29 · 74 · 133 · 61 |
Discriminant |
Eigenvalues |
2- 2 1 7+ -2 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19160,1012633] |
[a1,a2,a3,a4,a6] |
Generators |
[41:525:1] |
Generators of the group modulo torsion |
j |
323980956279841/68616704 |
j-invariant |
L |
16.272972425577 |
L(r)(E,1)/r! |
Ω |
0.99249763685378 |
Real period |
R |
0.20241951884722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001692 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77714m1 |
Quadratic twists by: -7 |