Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616bz |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
-8.8217530217603E+19 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11+ 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1481907,828451330] |
[a1,a2,a3,a4,a6] |
Generators |
[329:19404:1] |
Generators of the group modulo torsion |
j |
-4097989445764/1004475087 |
j-invariant |
L |
4.3369801658895 |
L(r)(E,1)/r! |
Ω |
0.18216711577833 |
Real period |
R |
2.9759625839254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002919 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38808cq1 25872z1 11088w1 |
Quadratic twists by: -4 -3 -7 |