Atkin-Lehner |
5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
12775f |
Isogeny class |
Conductor |
12775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-2914296875 = -1 · 57 · 7 · 732 |
Discriminant |
Eigenvalues |
0 3 5+ 7- -5 1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,50,-2594] |
[a1,a2,a3,a4,a6] |
Generators |
[390:899:27] |
Generators of the group modulo torsion |
j |
884736/186515 |
j-invariant |
L |
6.6863829865542 |
L(r)(E,1)/r! |
Ω |
0.67284764535169 |
Real period |
R |
1.2421799780282 |
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 |
114975z1 2555a1 89425f1 |
Quadratic twists by: -3 5 -7 |