Atkin-Lehner |
2- 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35136cc |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-24985004886982656 = -1 · 224 · 38 · 613 |
Discriminant |
Eigenvalues |
2- 3- -3 1 3 1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,23316,-7480496] |
[a1,a2,a3,a4,a6] |
Generators |
[2138:99072:1] |
Generators of the group modulo torsion |
j |
7335308807/130741056 |
j-invariant |
L |
5.1588035543211 |
L(r)(E,1)/r! |
Ω |
0.18399527626641 |
Real period |
R |
3.5047119544333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35136r2 8784y2 11712bh2 |
Quadratic twists by: -4 8 -3 |