Atkin-Lehner |
2- 3- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32550cg |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-173023593750000 = -1 · 24 · 36 · 510 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5937,-607383] |
[a1,a2,a3,a4,a6] |
Generators |
[132:-1641:1] |
Generators of the group modulo torsion |
j |
1481154154199/11073510000 |
j-invariant |
L |
9.6385933477994 |
L(r)(E,1)/r! |
Ω |
0.28419012114586 |
Real period |
R |
0.70658342123052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97650r1 6510e1 |
Quadratic twists by: -3 5 |