Atkin-Lehner |
2+ 3+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570k |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
653184 |
Modular degree for the optimal curve |
Δ |
-581660016281326080 = -1 · 29 · 33 · 5 · 710 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-114097,-39626411] |
[a1,a2,a3,a4,a6] |
Generators |
[77190376945520421135:-334318846095599223629:169555881380129587] |
Generators of the group modulo torsion |
j |
-581529748009/2059153920 |
j-invariant |
L |
3.9342664975358 |
L(r)(E,1)/r! |
Ω |
0.1191846293365 |
Real period |
R |
33.009847993302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45570v1 |
Quadratic twists by: -7 |