Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616fm |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-4.0588776742588E+22 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11+ 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3109344,9460549168] |
[a1,a2,a3,a4,a6] |
j |
9463555063808/115539436859 |
j-invariant |
L |
4.2359063481086 |
L(r)(E,1)/r! |
Ω |
0.084718128455026 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4851n3 8624bb3 11088bj3 |
Quadratic twists by: -4 -3 -7 |