Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640ch |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
8840832 |
Modular degree for the optimal curve |
Δ |
-1.4360240873738E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 5 4 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24325925,-188071325175] |
[a1,a2,a3,a4,a6] |
Generators |
[15729805:150992470:2197] |
Generators of the group modulo torsion |
j |
-6218589009063615570313216/56094690913037211867075 |
j-invariant |
L |
6.3252813384821 |
L(r)(E,1)/r! |
Ω |
0.029750245234487 |
Real period |
R |
7.5933123631526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9660f1 115920dr1 |
Quadratic twists by: -4 -3 |