Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840gm |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1641185280 |
Modular degree for the optimal curve |
Δ |
-9.4847470434648E+35 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -4 3 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,69252452628,-46328599703593136] |
[a1,a2,a3,a4,a6] |
Generators |
[13316607600522704214433914:8192408167920965192253440000:29460597554718139473] |
Generators of the group modulo torsion |
j |
192203697666261893287480365959/4963160303408775168000000000 |
j-invariant |
L |
8.7657983424374 |
L(r)(E,1)/r! |
Ω |
0.0042673770361303 |
Real period |
R |
28.529749813464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123840ct1 30960bh1 41280dc1 |
Quadratic twists by: -4 8 -3 |