Atkin-Lehner |
2- 3- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
48312n |
Isogeny class |
Conductor |
48312 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2601984 |
Modular degree for the optimal curve |
Δ |
-1.4622353794666E+22 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5364609,3312960770] |
[a1,a2,a3,a4,a6] |
j |
91489328511191062832/78351947202214719 |
j-invariant |
L |
0.97273800907642 |
L(r)(E,1)/r! |
Ω |
0.081061500762901 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96624q1 16104b1 |
Quadratic twists by: -4 -3 |