Atkin-Lehner |
2+ 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570bg |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-1302787377990000 = -1 · 24 · 36 · 54 · 78 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,11636,1668986] |
[a1,a2,a3,a4,a6] |
Generators |
[88:-1882:1] [-59:911:1] |
Generators of the group modulo torsion |
j |
1481154154199/11073510000 |
j-invariant |
L |
7.6733866031595 |
L(r)(E,1)/r! |
Ω |
0.35199761765353 |
Real period |
R |
0.90831422078831 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510e1 |
Quadratic twists by: -7 |