Atkin-Lehner |
3+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22785a |
Isogeny class |
Conductor |
22785 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-603770577858984375 = -1 · 32 · 58 · 78 · 313 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 6 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,202247,13200832] |
[a1,a2,a3,a4,a6] |
Generators |
[384:11960:1] |
Generators of the group modulo torsion |
j |
7776396241319159/5131965234375 |
j-invariant |
L |
5.1151861465713 |
L(r)(E,1)/r! |
Ω |
0.18150895025668 |
Real period |
R |
2.3484545065765 |
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 |
68355bj1 113925ck1 3255e1 |
Quadratic twists by: -3 5 -7 |