Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840cp |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
13866909696000000 = 220 · 39 · 56 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -6 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61932,-1758544] |
[a1,a2,a3,a4,a6] |
Generators |
[-188:1800:1] |
Generators of the group modulo torsion |
j |
137467988281/72562500 |
j-invariant |
L |
6.8378835091396 |
L(r)(E,1)/r! |
Ω |
0.32112126499634 |
Real period |
R |
1.7744811389791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999596456 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840gk1 3870s1 41280d1 |
Quadratic twists by: -4 8 -3 |