Atkin-Lehner |
2- 7- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76342y |
Isogeny class |
Conductor |
76342 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
3268608 |
Modular degree for the optimal curve |
Δ |
313143453132783616 = 219 · 79 · 192 · 41 |
Discriminant |
Eigenvalues |
2- 3 3 7- -6 6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-507576,-136431557] |
[a1,a2,a3,a4,a6] |
j |
358380017722791/7759986688 |
j-invariant |
L |
13.611627856348 |
L(r)(E,1)/r! |
Ω |
0.17910036632636 |
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 |
76342r1 |
Quadratic twists by: -7 |