Atkin-Lehner |
2- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
100450bo |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-216097683200 = -1 · 28 · 52 · 77 · 41 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- -2 1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1455,31287] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:198:1] |
Generators of the group modulo torsion |
j |
-115745625/73472 |
j-invariant |
L |
5.2736613366925 |
L(r)(E,1)/r! |
Ω |
0.92242099883422 |
Real period |
R |
0.17866236426224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016674 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100450z1 14350v1 |
Quadratic twists by: 5 -7 |