Atkin-Lehner |
2- 7+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
112336f |
Isogeny class |
Conductor |
112336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-3866687799296 = -1 · 215 · 76 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 1 -2 7+ 2 -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55504,-5052524] |
[a1,a2,a3,a4,a6] |
Generators |
[33510:1157968:27] |
Generators of the group modulo torsion |
j |
-4616835877167697/944015576 |
j-invariant |
L |
5.7233449344492 |
L(r)(E,1)/r! |
Ω |
0.15551866121246 |
Real period |
R |
4.6002075412685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999816695 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14042e1 |
Quadratic twists by: -4 |