Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616bc |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-139793288198256 = -1 · 24 · 39 · 79 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11- -1 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9261,453789] |
[a1,a2,a3,a4,a6] |
Generators |
[60:1107:1] |
Generators of the group modulo torsion |
j |
6912/11 |
j-invariant |
L |
5.3957200383872 |
L(r)(E,1)/r! |
Ω |
0.3966264498865 |
Real period |
R |
3.4010087070081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000764 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38808bq1 77616o1 77616bb1 |
Quadratic twists by: -4 -3 -7 |