Atkin-Lehner |
2- 7+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
75152f |
Isogeny class |
Conductor |
75152 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
114943970051620864 = 227 · 73 · 11 · 613 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ 11+ 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14394392,21025053424] |
[a1,a2,a3,a4,a6] |
Generators |
[2189:122:1] |
Generators of the group modulo torsion |
j |
80527417407206305166233/28062492688384 |
j-invariant |
L |
3.3193379503888 |
L(r)(E,1)/r! |
Ω |
0.26864451367966 |
Real period |
R |
2.059312451083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963089 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9394d2 |
Quadratic twists by: -4 |