Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616gu |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
4730880 |
Modular degree for the optimal curve |
Δ |
-1.3428487486802E+22 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- -1 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10002909,-13392607529] |
[a1,a2,a3,a4,a6] |
Generators |
[826532:90767061:64] |
Generators of the group modulo torsion |
j |
-235165059164416/28529701497 |
j-invariant |
L |
4.1435786510629 |
L(r)(E,1)/r! |
Ω |
0.042159436949797 |
Real period |
R |
2.4570884653264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000411 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19404v1 25872cq1 77616gt1 |
Quadratic twists by: -4 -3 -7 |