Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616l |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
1753237398528 = 210 · 33 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11+ -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26019,-1614158] |
[a1,a2,a3,a4,a6] |
j |
598885164/539 |
j-invariant |
L |
1.5036971307524 |
L(r)(E,1)/r! |
Ω |
0.37592427412875 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38808bv1 77616z1 11088c1 |
Quadratic twists by: -4 -3 -7 |