Atkin-Lehner |
2- 11+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
52624d |
Isogeny class |
Conductor |
52624 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-322383188984569856 = -1 · 213 · 112 · 133 · 236 |
Discriminant |
Eigenvalues |
2- -1 -3 -5 11+ 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,121168,21930304] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:598:1] [402:11638:1] |
Generators of the group modulo torsion |
j |
48031262075064527/78706833248186 |
j-invariant |
L |
5.2297931333527 |
L(r)(E,1)/r! |
Ω |
0.20841062115763 |
Real period |
R |
0.34852357973688 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6578e2 |
Quadratic twists by: -4 |