Atkin-Lehner |
2+ 3+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
64032h |
Isogeny class |
Conductor |
64032 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
16773120 |
Modular degree for the optimal curve |
Δ |
-2.0701533697373E+23 |
Discriminant |
Eigenvalues |
2+ 3+ -4 0 2 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-343734510,2453129061696] |
[a1,a2,a3,a4,a6] |
j |
-70179965163610934283134098624/3234614640214599547767 |
j-invariant |
L |
0.56560464760011 |
L(r)(E,1)/r! |
Ω |
0.094267440868214 |
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 |
64032s1 128064dx1 |
Quadratic twists by: -4 8 |