Atkin-Lehner |
2- 7+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55216k |
Isogeny class |
Conductor |
55216 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
14112 |
Modular degree for the optimal curve |
Δ |
-15957424 = -1 · 24 · 7 · 173 · 29 |
Discriminant |
Eigenvalues |
2- 2 3 7+ 3 -4 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,51,116] |
[a1,a2,a3,a4,a6] |
Generators |
[80:714:1] |
Generators of the group modulo torsion |
j |
899022848/997339 |
j-invariant |
L |
11.15649286955 |
L(r)(E,1)/r! |
Ω |
1.4653168138744 |
Real period |
R |
2.5379023302417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000115 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13804c1 |
Quadratic twists by: -4 |