Atkin-Lehner |
5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65065b |
Isogeny class |
Conductor |
65065 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
120911686120225 = 52 · 72 · 112 · 138 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ 11+ 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26058,1536656] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:1821:1] |
Generators of the group modulo torsion |
j |
405388302201/25050025 |
j-invariant |
L |
2.1597365337297 |
L(r)(E,1)/r! |
Ω |
0.57897838613199 |
Real period |
R |
1.8651270800748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001038 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5005e2 |
Quadratic twists by: 13 |