Atkin-Lehner |
3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42075c |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
1.6231206802368E+20 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11+ 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1463105,-296757728] |
[a1,a2,a3,a4,a6] |
Generators |
[-1750450:42715951:2197] |
Generators of the group modulo torsion |
j |
1126259840967507/527763671875 |
j-invariant |
L |
3.5461415565069 |
L(r)(E,1)/r! |
Ω |
0.14365547696365 |
Real period |
R |
12.342521258009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42075j1 8415g1 |
Quadratic twists by: -3 5 |