Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616dx |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3311616 |
Modular degree for the optimal curve |
Δ |
-2.0590109774068E+20 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11235651,14512340290] |
[a1,a2,a3,a4,a6] |
j |
-35148950502093/46137344 |
j-invariant |
L |
0.71098033626821 |
L(r)(E,1)/r! |
Ω |
0.17774508255931 |
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 |
9702g1 77616dh1 77616du1 |
Quadratic twists by: -4 -3 -7 |