Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470cn |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
180633600 |
Modular degree for the optimal curve |
Δ |
8.373102360949E+28 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -6 13+ -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2334115224,-41110254230720] |
[a1,a2,a3,a4,a6] |
Generators |
[-24144:1093672:1] |
Generators of the group modulo torsion |
j |
399671282266555297146121/23795714975760000000 |
j-invariant |
L |
3.7033682202752 |
L(r)(E,1)/r! |
Ω |
0.021801302031031 |
Real period |
R |
3.033377349177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999392969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35490cf1 8190bj1 |
Quadratic twists by: -3 13 |