Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616gn |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
30987648070815744 = 212 · 312 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81291,-2802310] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:2430:1] |
Generators of the group modulo torsion |
j |
169112377/88209 |
j-invariant |
L |
5.6804491131724 |
L(r)(E,1)/r! |
Ω |
0.29946405036877 |
Real period |
R |
2.371089745233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003538 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4851j2 25872bk2 1584q2 |
Quadratic twists by: -4 -3 -7 |