Atkin-Lehner |
3- 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
47175l |
Isogeny class |
Conductor |
47175 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
8060291015625 = 38 · 59 · 17 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -6 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-40276,-3111427] |
[a1,a2,a3,a4,a6] |
Generators |
[-117410:105707:1000] |
Generators of the group modulo torsion |
j |
462409962282289/515858625 |
j-invariant |
L |
9.1271301060477 |
L(r)(E,1)/r! |
Ω |
0.33702983945212 |
Real period |
R |
6.7702685620443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9435c1 |
Quadratic twists by: 5 |