Atkin-Lehner |
3+ 5- 7+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
39585h |
Isogeny class |
Conductor |
39585 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
14102750025 = 34 · 52 · 72 · 132 · 292 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4400,110360] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:493:1] [-210:3755:8] |
Generators of the group modulo torsion |
j |
9420802744953601/14102750025 |
j-invariant |
L |
5.3238190335197 |
L(r)(E,1)/r! |
Ω |
1.2512799023951 |
Real period |
R |
2.1273493737607 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
118755b2 |
Quadratic twists by: -3 |