Atkin-Lehner |
11- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
76219f |
Isogeny class |
Conductor |
76219 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9936 |
Modular degree for the optimal curve |
Δ |
76219 = 11 · 132 · 41 |
Discriminant |
Eigenvalues |
1 1 -3 -4 11- 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-30,-63] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:2:1] |
Generators of the group modulo torsion |
j |
16835377/451 |
j-invariant |
L |
2.0247436819263 |
L(r)(E,1)/r! |
Ω |
2.0515287340727 |
Real period |
R |
0.98694385789224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928078 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76219b1 |
Quadratic twists by: 13 |