Atkin-Lehner |
2+ 3+ 5- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650u |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
52668000 |
Modular degree for the optimal curve |
Δ |
-7.3576948492078E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 2 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-154022525,-1498224286275] |
[a1,a2,a3,a4,a6] |
Generators |
[40265338610:20897380295815:148877] |
Generators of the group modulo torsion |
j |
-646541513621658523590181225/1177231175873251604692992 |
j-invariant |
L |
4.9106125694914 |
L(r)(E,1)/r! |
Ω |
0.02020387069537 |
Real period |
R |
13.502947703912 |
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 |
127650cz1 |
Quadratic twists by: 5 |