Atkin-Lehner |
3- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
77319y |
Isogeny class |
Conductor |
77319 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
81699555186909 = 310 · 117 · 71 |
Discriminant |
Eigenvalues |
2 3- -3 -1 11- 1 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-113619,-14734503] |
[a1,a2,a3,a4,a6] |
j |
125600960512/63261 |
j-invariant |
L |
4.1607336531913 |
L(r)(E,1)/r! |
Ω |
0.26004585910998 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25773w1 7029i1 |
Quadratic twists by: -3 -11 |