Atkin-Lehner |
2+ 3- 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
67650bc |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
10348800 |
Modular degree for the optimal curve |
Δ |
-5.9477385256077E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 11+ 6 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3753776,-4648326802] |
[a1,a2,a3,a4,a6] |
Generators |
[8193:-721433:1] |
Generators of the group modulo torsion |
j |
-374376499897742059249/380655265638892464 |
j-invariant |
L |
5.0904391321154 |
L(r)(E,1)/r! |
Ω |
0.05210428256399 |
Real period |
R |
0.74012981119719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000624 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2706k1 |
Quadratic twists by: 5 |