Atkin-Lehner |
3- 5+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
58905bd |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1115502218748225 = 312 · 52 · 74 · 112 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-47588,3670206] |
[a1,a2,a3,a4,a6] |
Generators |
[-160:2757:1] |
Generators of the group modulo torsion |
j |
16348578116081401/1530181370025 |
j-invariant |
L |
3.7825698079058 |
L(r)(E,1)/r! |
Ω |
0.47625626516142 |
Real period |
R |
0.99278741415344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000513 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19635l2 |
Quadratic twists by: -3 |