Atkin-Lehner |
3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
61893h |
Isogeny class |
Conductor |
61893 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
781487327505962961 = 310 · 132 · 238 |
Discriminant |
Eigenvalues |
1 3- 2 -4 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4270716,3397829827] |
[a1,a2,a3,a4,a6] |
j |
79823598306193/7241481 |
j-invariant |
L |
2.1682806936644 |
L(r)(E,1)/r! |
Ω |
0.27103508696668 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20631d2 2691d2 |
Quadratic twists by: -3 -23 |