Atkin-Lehner |
2+ 7- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
76538n |
Isogeny class |
Conductor |
76538 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15120 |
Modular degree for the optimal curve |
Δ |
19593728 = 29 · 72 · 11 · 71 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 11+ -2 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-86,244] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1:1] |
Generators of the group modulo torsion |
j |
1444975497/399872 |
j-invariant |
L |
4.1842038258543 |
L(r)(E,1)/r! |
Ω |
2.0203782037774 |
Real period |
R |
2.0710002801562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995456 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76538d1 |
Quadratic twists by: -7 |