Atkin-Lehner |
3+ 5- 23- 67- |
Signs for the Atkin-Lehner involutions |
Class |
69345c |
Isogeny class |
Conductor |
69345 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
-4257962457275390625 = -1 · 39 · 514 · 232 · 67 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 0 0 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1001094,398360033] |
[a1,a2,a3,a4,a6] |
j |
-5637119469311606067/216326904296875 |
j-invariant |
L |
3.4212204532573 |
L(r)(E,1)/r! |
Ω |
0.24437288867395 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69345b2 |
Quadratic twists by: -3 |