Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760ci |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
7096320 |
Modular degree for the optimal curve |
Δ |
-1.4461645286227E+22 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11- 3 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-77149640,260914735600] |
[a1,a2,a3,a4,a6] |
Generators |
[1170:415030:1] |
Generators of the group modulo torsion |
j |
-57839429434456681/16470860000 |
j-invariant |
L |
5.8708989068674 |
L(r)(E,1)/r! |
Ω |
0.12219232352767 |
Real period |
R |
0.28599036190117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998196 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470k1 67760bz1 |
Quadratic twists by: -4 -11 |