Atkin-Lehner |
2- 7- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
76342r |
Isogeny class |
Conductor |
76342 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
466944 |
Modular degree for the optimal curve |
Δ |
2661675433984 = 219 · 73 · 192 · 41 |
Discriminant |
Eigenvalues |
2- -3 -3 7- -6 -6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10359,400719] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:86:1] [3:606:1] |
Generators of the group modulo torsion |
j |
358380017722791/7759986688 |
j-invariant |
L |
7.0061680475082 |
L(r)(E,1)/r! |
Ω |
0.80876756810611 |
Real period |
R |
0.11398382589959 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000162 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76342y1 |
Quadratic twists by: -7 |