Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616fy |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
13009391609905152 = 216 · 314 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10406235,12920773642] |
[a1,a2,a3,a4,a6] |
Generators |
[-3241:112266:1] |
Generators of the group modulo torsion |
j |
121681065322255375/12702096 |
j-invariant |
L |
5.88567412559 |
L(r)(E,1)/r! |
Ω |
0.30746886852467 |
Real period |
R |
2.3927927048573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001661 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9702bu2 25872ck2 77616fx2 |
Quadratic twists by: -4 -3 -7 |