Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616bt |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2319533078252544 = 210 · 36 · 710 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-110691,-13984110] |
[a1,a2,a3,a4,a6] |
Generators |
[-174:90:1] |
Generators of the group modulo torsion |
j |
1707831108/26411 |
j-invariant |
L |
4.045628308 |
L(r)(E,1)/r! |
Ω |
0.26198622272758 |
Real period |
R |
3.8605353599802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003288 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38808bh4 8624f3 11088l3 |
Quadratic twists by: -4 -3 -7 |