Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616dq |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
201993557794947072 = 216 · 39 · 76 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-615195,-184460598] |
[a1,a2,a3,a4,a6] |
j |
2714704875/21296 |
j-invariant |
L |
2.0466002870123 |
L(r)(E,1)/r! |
Ω |
0.17055002691074 |
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 |
9702be3 77616dc1 1584j3 |
Quadratic twists by: -4 -3 -7 |