Atkin-Lehner |
5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
51425bd |
Isogeny class |
Conductor |
51425 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-11764272265625 = -1 · 58 · 116 · 17 |
Discriminant |
Eigenvalues |
-1 -1 5- -1 11- 1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9138,-378344] |
[a1,a2,a3,a4,a6] |
Generators |
[160:1432:1] |
Generators of the group modulo torsion |
j |
-121945/17 |
j-invariant |
L |
2.4294026565251 |
L(r)(E,1)/r! |
Ω |
0.242274468052 |
Real period |
R |
0.83562342743768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51425o1 425b1 |
Quadratic twists by: 5 -11 |