Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30960bf |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
216670464000000 = 214 · 39 · 56 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15483,219818] |
[a1,a2,a3,a4,a6] |
Generators |
[13:144:1] |
Generators of the group modulo torsion |
j |
137467988281/72562500 |
j-invariant |
L |
3.8932753023533 |
L(r)(E,1)/r! |
Ω |
0.49211729993234 |
Real period |
R |
1.9778187552482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3870s1 123840gk1 10320v1 |
Quadratic twists by: -4 8 -3 |